First, find the LCM (Least Common Multiple) of the three intercepts. Second, divide the LCM by the X-Intercept. Repeat for the Y- and Z-Intercepts. Third, take the three values, and put them together like this: (LCM/X-Intercept)x+(LCM/Y-Intercept)y+(LCM/Z-Intercept)z=LCM If it need it, you can simplify it. For example, if you have a plane with the intercepts (5, 0, 0), (0, 2, 0), and (0, 0, 3), the the LCM would be 30, so you would have: (30/5)x+(30/2)y+(30/3)z=30 6x+15y+10z=30
/* To Get The LCM Of 15 Nos in C++/ C(Just Change cin to scanf & cout to printf) */ /* Developed By Kishore Kr. Banerjee - papillon_kish@yahoo.com*/ #include <iostream.h> #include <conio.h> main() { int num[15],i,j,n1,n2,LCM,flag; clrscr(); for(i=0;i<15;i=i+1) { cout<<"Enter No - "<<i+1<<"="; cin>>num[i]; } clrscr(); n1=num[0]; for(i=1;i<15;i=i+1) { n2=num[i]; LCM=1; for(j=1;n1%j==0n2%j==0;j=j+1) { if(n1%j==0) { n1=n1/j; flag=1; } if(n2%j==0) { n2=n2/j; flag=1; } if(flag==1) { LCM=LCM*j; } } LCM=LCM*n1*n2; n1=LCM; } cout<<"the LCM ="<<LCM; getch(); }
None. The Least Common Multiple (LCM) for 3 7 is 21.
/* Program to find LCM/HCF of 15 Nos in C++/ C (replace cin with scanf & cout with printf for c) */ /* Developed by - Kishore Kr. Banerjee - papillon_kish@yahoo.com */ #include <iostream.h> #include <conio.h> main() { int num[3],i,j,p,q,tmp,n1,n2,LCM,rem,flag; clrscr(); for(i=0;i<3;i=i+1) { cout<<"Enter No - "<<i+1<<"="; cin>>num[i]; } clrscr(); n1=num[0]; p=n1; for(i=1;i<3;i=i+1) { n2=num[i]; /* Finding HCF */ q=n2; if(p<q) { tmp=q; q=p; p=tmp; } while(p%q!=0) { rem=p%q; q=p; p=rem; if(p<q) { tmp=q; q=p; p=tmp; } } /*finding LCM */ LCM=1; for(j=1;n1%j==0n2%j==0;j=j+1) { if(n1%j==0) { n1=n1/j; flag=1; } if(n2%j==0) { n2=n2/j; flag=1; } if(flag==1) { LCM=LCM*j; } } LCM=LCM*n1*n2; n1=LCM; } cout<<"the LCM ="<<LCM; cout<<"the hcf ="<<q; getch(); } ----- int gcd (int a, int b) { . int tmp; . if (a<0) a= -a; . if (b<0) b= -b; . if (a<b) tmp= a, a= b, b= tmp; . while (b) { . . tmp= a%b; . . a= b; . . b= tmp; . } . return a; } int gcd_n (int n, const int *vect) { . int i, gcdtmp; . for (i=0, gcdtmp=0; i<n && gcdtmp!=1; ++i) . . gcdtmp= gcd (gcdtmp, vect[i]); . return gcdtmp; } int LCM (int a, int b) { . int d= gcd (a, b); . if (d==0) return d; . else return a/d*b; } int lcm_n (int n, const int *vect) { . int i, lcmtmp; . for (i=0, lcmtmp=1; i<n; ++i) . . lcmtmp= LCM (lcmtmp, vect[i]); . return lcmtmp; }
LCM of 5, 8, 10, and 12. 5 = 5 8 = 23 10 = 2 x 5 12 = 23 x 3 LCM = 23 x 3 x 5 = 120 Or, since 5 is the only odd number, the LCM will end with 0. One of the multiples of 12 ending with 0 is 60 or 120. Since 60 is not divided evenly by 8, then 120 is the LCM.
The Greatest Common Factor (GCF) of (30,40) is 10The Least Common Multiple (LCM) of (30,40) is 120
LCM of 0 & 50 doesn't exist.
LCM of 0 1 and 2 is 2.
0 because 14x0=0 and 0x0=0
#include<stdio.h> main() { int a,b,i,lcm,gcf; printf("\n Enter two numbers"); scanf("%d%d",&a,&b); for(i=0;i<=a;i++) { if((b%i==0)&&(a%i==0)) { gcf=i; } } lcm=a*b/gcf; printf("\n GCF is %d and LCM is %d",gcf,lcm); }
Least common multiples do not use zero as a multiple, as the LCM for any number and zero is zero.
The concept of LCM does not apply to sets containing 0.
The concept of LCM makes sense only for non-zero integers. Otherwise, the least common multiple will always be 0.
Let's start with an example: 1/2 + 1/3 To add these two fractions, you first need to find the LCM which here is 6 Then you change both denominators to 6 and the problem becomes 3/6 + 2/6 = 5/6 Now if the LCM were 0, then you would get a denominator, 0. But you can not divide by 0. It becomes meaningless. So the LCM always excludes 0
First, find the LCM (Least Common Multiple) of the three intercepts. Second, divide the LCM by the X-Intercept. Repeat for the Y- and Z-Intercepts. Third, take the three values, and put them together like this: (LCM/X-Intercept)x+(LCM/Y-Intercept)y+(LCM/Z-Intercept)z=LCM If it need it, you can simplify it. For example, if you have a plane with the intercepts (5, 0, 0), (0, 2, 0), and (0, 0, 3), the the LCM would be 30, so you would have: (30/5)x+(30/2)y+(30/3)z=30 6x+15y+10z=30
The LCM is not defined for any set of numbers that contains a zero.
/* To Get The LCM Of 15 Nos in C++/ C(Just Change cin to scanf & cout to printf) */ /* Developed By Kishore Kr. Banerjee - papillon_kish@yahoo.com*/ #include <iostream.h> #include <conio.h> main() { int num[15],i,j,n1,n2,LCM,flag; clrscr(); for(i=0;i<15;i=i+1) { cout<<"Enter No - "<<i+1<<"="; cin>>num[i]; } clrscr(); n1=num[0]; for(i=1;i<15;i=i+1) { n2=num[i]; LCM=1; for(j=1;n1%j==0n2%j==0;j=j+1) { if(n1%j==0) { n1=n1/j; flag=1; } if(n2%j==0) { n2=n2/j; flag=1; } if(flag==1) { LCM=LCM*j; } } LCM=LCM*n1*n2; n1=LCM; } cout<<"the LCM ="<<LCM; getch(); }