The LCM will never be less than the GCF. To be a multiple of both numbers, the LCM will have to be equal to or greater than the larger number. To be a factor of both numbers, the GCF will have to be equal to or less than the smaller number.
The only problem comes when you're comparing a number to itself. The LCM of 10 and 10 is 10. The GCF of 10 and 10 is 10.
The LCM is at least as great. The LCM is a multiple of the two numbers and so must be at least as large as the two numbers. Consequently it must be at least as large as the larger of the two numbers. On the other hand, the GCF is a factor of the two numbers and so must be at most as large as the two numbers. Consequently it must be at most as large as the smaller of the two numbers. Combining these inequalities shows that the LCM must be at least as great as the GCF.
The GCF and LCM of 10 and 10 is 10. But apart from that special circumstance, the LCM will never be less than the GCF. Apart from a number itself, all of its factors are smaller than it. Apart from a number itself, all of its multiples are larger than it. You can't have a GCF that is greater than the smaller number, and you can't have an LCM that is less than the larger one. Factors go into numbers, numbers go into multiples.
To find the LCM and GCF of numbers at least two or more numbers are neeeded.
If the GCF and the LCM are both 144, then so are both of the numbers.
To find two numbers with a greatest common factor (GCF) of 15 and a least common multiple (LCM) of 270, we can use the relationship between GCF, LCM, and the two numbers. The relationship is LCM(a,b) = (a * b) / GCF(a,b). Given GCF = 15 and LCM = 270, we can substitute these values into the formula to get 270 = (15 * b) / 15. Solving for b gives us b = 270 / 15 = 18. Therefore, the two numbers are 15 and 18.
The GCF, or greatest common factor, is the largest number that will divide evenly with no remainder into all the members of a given set of numbers. The LCM, or least common multiple, is the smallest number that all the members of a given set of numbers will divide into evenly with no remainder.Factors go into numbers, numbers go into multiples.The GCF, or greatest common factor, is the largest number that will divide evenly with no remainder into all the members of a given set of numbers. The LCM, or least common multiple, is the smallest number that all the members of a given set of numbers will divide into evenly with no remainder.Factors go into numbers, numbers go into multiples.
The LCM will never be less than the GCF of a set of numbers.
The LCM of two numbers will never be less than the GCF.
The LCM of a set of numbers will never be less than the GCF.
The LCM of a set of numbers will never be less than the GCF.
To find the GCF and LCM at least two or more numbers must be given
When their GCF is greater than one.
If their GCF is 1, their LCM is their product. If their GCF is greater than 1, their LCM is less than their product.
The pair of numbers whose GCF is 1 and LCM is 36 is 9 and 4. The numbers should be greater than their GCF and less than their LCM.
GCF - Greatest Common Factor (GCF is always smaller or equal to at least one of the numbers) LCM - Least Common Multiple (LCM is always greater or equal to at least one of the numbers)
No.The gcf of two numbers is LESS THAN OR EQUAL than their lcm.The gcf of two DIFFERENT numbes is LESS THAN their lcm.
If the GCF of two numbers is 1, their LCM will be their product. Such numbers are called relatively prime, or co-prime. Any two prime numbers (like 3 and 5) will be that way, but the numbers don't have to be prime (like 4 and 9).
By finding their common prime numbers.