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 42, 324, 126 i.e. 2268 smallest integer divisible by all numbers.
Least common multiple (LCM) of 42, 324, 126 is 2268.
LCM(42, 324, 126) = 2268
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 42, 324, 126 |
3 | 21, 162, 63 |
3 | 7, 54, 21 |
7 | 7, 18, 7 |
1, 18, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 1 x 18 x 1 = 2268
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 42,324,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,324,126) = 6
common factors(in case of two or more numbers have common factors) = 126
GCF(42,324,126) x common factors =6 x 126 = 756
LCM(42,324,126) = ( 42 × 324 × 126 ) / 756
LCM(42,324,126) = 1714608 / 756
LCM(42,324,126) = 2268
∴ Least Common Multiple of 42,324,126 is 2268
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 42, 324, 126?
Answer: LCM of 42, 324, 126 is 2268.
2. What are the Factors of 2268?
Answer: Factors of 2268 are . There are integers that are factors of 2268
3. How to Find the LCM of 42, 324, 126 ?
Least Common Multiple of 42, 324, 126.
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(42, 324, 126) = 2 x 2 x 3 x 3 x 3 x 3 x 7 = 2268.