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, 90, 36, 678 i.e. 142380 smallest integer divisible by all numbers.
Least common multiple (LCM) of 42, 90, 36, 678 is 142380.
LCM(42, 90, 36, 678) = 142380
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 42, 90, 36, 678 |
3 | 21, 45, 18, 339 |
3 | 7, 15, 6, 113 |
7, 5, 2, 113 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 5 x 2 x 113 = 142380
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 42,90,36,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,90,36,678) = 6
common factors(in case of two or more numbers have common factors) = 108
GCF(42,90,36,678) x common factors =6 x 108 = 648
LCM(42,90,36,678) = ( 42 × 90 × 36 × 678 ) / 648
LCM(42,90,36,678) = 92262240 / 648
LCM(42,90,36,678) = 142380
∴ Least Common Multiple of 42,90,36,678 is 142380
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 42, 90, 36, 678?
Answer: LCM of 42, 90, 36, 678 is 142380.
2. What are the Factors of 142380?
Answer: Factors of 142380 are . There are integers that are factors of 142380
3. How to Find the LCM of 42, 90, 36, 678 ?
Least Common Multiple of 42, 90, 36, 678.
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, 90, 36, 678) = 2 x 2 x 3 x 3 x 5 x 7 x 113 = 142380.