The LCM of the given three numbers is 3036
To find the Least Common Multiple (LCM) of 22, 132, and 253, we first need to find the prime factorization of each number. The prime factorization of 22 is 2 x 11, the prime factorization of 132 is 2^2 x 3 x 11, and the prime factorization of 253 is 11 x 23. To find the LCM, we take the highest power of each prime factor that appears in the factorizations, which gives us 2^2 x 3 x 11 x 23 = 3036. Therefore, the LCM of 22, 132, and 253 is 3036.
The LCM is 3036.
253
This is confusingly written. I think that someone wants you to learn the fact that the product of two numbers is equal to the product of their LCM and GCF. Example: 6 and 8 GCF = 2 LCM = 24 6 x 8 = 48 2 x 24 = 48 So 22 x 23 = 506 If the GCF is 2, then the LCM is 253. But the GCF of 22 and 23 isn't 2. And 253 isn't a multiple of 22 or 23. And 22 and 23 wouldn't be the factors of two numbers. This may not have been copied correctly.
This is confusingly written. I think that someone wants you to learn the fact that the product of two numbers is equal to the product of their LCM and GCF. Example: 6 and 8 GCF = 2 LCM = 24 6 x 8 = 48 2 x 24 = 48 So 22 x 23 = 506 If the GCF is 2, then the LCM is 253. But the GCF of 22 and 23 isn't 2. And 253 isn't a multiple of 22 or 23. And 22 and 23 wouldn't be the factors of two numbers. This may not have been copied correctly.
LCM(11, 23) = 253
LCM(22, 132) = 22
253 has 11 and 23 as factors.
LCM of 35 and 22 is 770.
The answer is 22.
The LCM is 44.