Least Common Multiple of 212, 417, 464, 648

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 212, 417, 464, 648 i.e. 276881328 smallest integer divisible by all numbers.

Least common multiple (LCM) of 212, 417, 464, 648 is 276881328.

LCM(212, 417, 464, 648) = 276881328

LCM of 212, 417, 464, 648

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 212,417,464,648

Least Common Multiple (LCM) of 212,417,464,648 is 276881328

2 212, 417, 464, 648
2 106, 417, 232, 324
2 53, 417, 116, 162
3 53, 417, 58, 81
53, 139, 58, 27

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 53 x 139 x 58 x 27 = 276881328

Least Common Multiple of 212,417,464,648 with GCF Formula

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 212,417,464,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(212,417,464,648) = 1

common factors(in case of two or more numbers have common factors) = 96

GCF(212,417,464,648) x common factors =1 x 96 = 96

LCM(212,417,464,648) = ( 212 × 417 × 464 × 648 ) / 96

LCM(212,417,464,648) = 26580607488 / 96

LCM(212,417,464,648) = 276881328

∴ Least Common Multiple of 212,417,464,648 is 276881328

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 212, 417, 464, 648

1. What is the LCM of 212, 417, 464, 648?

Answer: LCM of 212, 417, 464, 648 is 276881328.

2. What are the Factors of 276881328?

Answer: Factors of 276881328 are . There are integers that are factors of 276881328

3. How to Find the LCM of 212, 417, 464, 648 ?

Least Common Multiple of 212, 417, 464, 648.

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(212, 417, 464, 648) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 29 x 53 x 139 = 276881328.