The formula, which is simpler to apply than to write out(!) is
If
X1 = pa1qb1rc1 ...
and
X2 = pa2qb2rc2 ...
where p, q, r etc are prime numbers and a, b, c etc are integers.
Then
LCM(X1, X2) = pmax(a1,a2)*qmax(b1,b2)*rmax(c1,c2) ...
Yes. For two prime numbers, the LCM is their product: one times the other. Multiply the two. (e.g. LCM of 5 and 7 is 35) By formula, the LCM for x and y is LCM = x * y / GCF and for primes, the GCF (greatest common factor) is 1.
The LCM is: 52
The LCM is: 270
LCM of 15 and 2 is 30.
The LCM is 392.
84
Least Common Multiple of 454 and 463 with GCF Formula The formula of LCM is LCM (a,b) = (a × b) / GCF (a,b). We need to calculate greatest common factor 454 and 463, than apply into the LCM equation. GCF (454,463) = 1
It is: 630 by finding the prime factors of the given numbers
2 * 3 = 6 3 * 3 = 9 LCM = 2 * 3 * 3 = 18 You can verify this by checking the formula: gcd(a,b) * LCM(a,b) = a * b 3 * LCM(6,9) = 54 LCM(6,9) = 18
Yes. For two prime numbers, the LCM is their product: one times the other. Multiply the two. (e.g. LCM of 5 and 7 is 35) By formula, the LCM for x and y is LCM = x * y / GCF and for primes, the GCF (greatest common factor) is 1.
There is no exact formula. To find the sequence of LCMs see http://oeis.org/A003418/list. LCM(1, 2, 3, ..., n) tends to en as n tends to infinity. Equivalently, ln[LCM(1, 2, 3, ..., n)] tends to n or ln[LCM(1, 2, 3, ..., n)] / n tends to 1 as n tends to infinity.
The LCM is: 210
The LCM for 52, 14, 65 and 91 is 1,820
The LCM of these numbers is 50. LCM is Least Common Multiple.
The LCM is: 10The LCM is 10.
The answer is 63.LCM of 63 and 66 is 1386.GCF of 63 and 66 is 3. Given one number A, the formula for finding B, the unknown number, is : (LCM/A) x GCF = B (1386/66) x 3 = 21 x 3 = 63
Factoring numbers into prime numbers, as taught in school, is much too complicated to program. To write a simple computer program, I would use the formula: a x b = lcm(a, b) x gcd(a, d) In other words, lcm(a, b) = a x b / gcf(a, d). The greatest common factor can be found easily with Euclid's Formula. For example, to calculate the greatest common factor of 14 and 10: gcf(14, 10) is the same as gcf(10, 4), where 4 is calculated as 14 % 10. gcf(10, 4) is the same as gcf(4, 2). Again, 2 is calculated as 10 % 4. Once you get a remainder of zero, stop. In this case, 4 % 2 = 0, so 2 is the gcf. In this case, the lcm can be calculated as 14 * 10 / 2.