Least Common Multiple of 146, 507, 338

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 146, 507, 338 i.e. 74022 smallest integer divisible by all numbers.

Least common multiple (LCM) of 146, 507, 338 is 74022.

LCM(146, 507, 338) = 74022

LCM of 146, 507, 338

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

LCM of:

Least Common Multiple of 146,507,338

Least Common Multiple (LCM) of 146,507,338 is 74022

2 146, 507, 338
13 73, 507, 169
13 73, 39, 13
73, 3, 1

∴ So the LCM of the given numbers is 2 x 13 x 13 x 73 x 3 x 1 = 74022

Least Common Multiple of 146,507,338 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 146,507,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(146,507,338) = 1

common factors(in case of two or more numbers have common factors) = 338

GCF(146,507,338) x common factors =1 x 338 = 338

LCM(146,507,338) = ( 146 × 507 × 338 ) / 338

LCM(146,507,338) = 25019436 / 338

LCM(146,507,338) = 74022

∴ Least Common Multiple of 146,507,338 is 74022

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 146, 507, 338

1. What is the LCM of 146, 507, 338?

Answer: LCM of 146, 507, 338 is 74022.

2. What are the Factors of 74022?

Answer: Factors of 74022 are . There are integers that are factors of 74022

3. How to Find the LCM of 146, 507, 338 ?

Least Common Multiple of 146, 507, 338.

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(146, 507, 338) = 2 x 3 x 13 x 13 x 73 = 74022.