Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 266, 456, 342 i.e. 9576 smallest integer divisible by all numbers.
Least common multiple (LCM) of 266, 456, 342 is 9576.
LCM(266, 456, 342) = 9576
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 266, 456, 342 |
3 | 133, 228, 171 |
19 | 133, 76, 57 |
7, 4, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 19 x 7 x 4 x 3 = 9576
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 266,456,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(266,456,342) = 38
common factors(in case of two or more numbers have common factors) = 114
GCF(266,456,342) x common factors =38 x 114 = 4332
LCM(266,456,342) = ( 266 × 456 × 342 ) / 4332
LCM(266,456,342) = 41483232 / 4332
LCM(266,456,342) = 9576
∴ Least Common Multiple of 266,456,342 is 9576
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 266, 456, 342?
Answer: LCM of 266, 456, 342 is 9576.
2. What are the Factors of 9576?
Answer: Factors of 9576 are . There are integers that are factors of 9576
3. How to Find the LCM of 266, 456, 342 ?
Least Common Multiple of 266, 456, 342.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(266, 456, 342) = 2 x 2 x 2 x 3 x 3 x 7 x 19 = 9576.