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 420, 672, 165 i.e. 36960 smallest integer divisible by all numbers.
Least common multiple (LCM) of 420, 672, 165 is 36960.
LCM(420, 672, 165) = 36960
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 420, 672, 165 |
2 | 210, 336, 165 |
3 | 105, 168, 165 |
5 | 35, 56, 55 |
7 | 7, 56, 11 |
1, 8, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 7 x 1 x 8 x 11 = 36960
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 420,672,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,672,165) = 3
common factors(in case of two or more numbers have common factors) = 420
GCF(420,672,165) x common factors =3 x 420 = 1260
LCM(420,672,165) = ( 420 × 672 × 165 ) / 1260
LCM(420,672,165) = 46569600 / 1260
LCM(420,672,165) = 36960
∴ Least Common Multiple of 420,672,165 is 36960
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 420, 672, 165?
Answer: LCM of 420, 672, 165 is 36960.
2. What are the Factors of 36960?
Answer: Factors of 36960 are . There are integers that are factors of 36960
3. How to Find the LCM of 420, 672, 165 ?
Least Common Multiple of 420, 672, 165.
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(420, 672, 165) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 11 = 36960.