Least Common Multiple of 44, 69, 506

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 44, 69, 506 i.e. 3036 smallest integer divisible by all numbers.

Least common multiple (LCM) of 44, 69, 506 is 3036.

LCM(44, 69, 506) = 3036

LCM of 44, 69, 506

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

LCM of:

Least Common Multiple of 44,69,506

Least Common Multiple (LCM) of 44,69,506 is 3036

2 44, 69, 506
11 22, 69, 253
23 2, 69, 23
2, 3, 1

∴ So the LCM of the given numbers is 2 x 11 x 23 x 2 x 3 x 1 = 3036

Least Common Multiple of 44,69,506 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 44,69,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,69,506) = 1

common factors(in case of two or more numbers have common factors) = 506

GCF(44,69,506) x common factors =1 x 506 = 506

LCM(44,69,506) = ( 44 × 69 × 506 ) / 506

LCM(44,69,506) = 1536216 / 506

LCM(44,69,506) = 3036

∴ Least Common Multiple of 44,69,506 is 3036

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 44, 69, 506

1. What is the LCM of 44, 69, 506?

Answer: LCM of 44, 69, 506 is 3036.

2. What are the Factors of 3036?

Answer: Factors of 3036 are . There are integers that are factors of 3036

3. How to Find the LCM of 44, 69, 506 ?

Least Common Multiple of 44, 69, 506.

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(44, 69, 506) = 2 x 2 x 3 x 11 x 23 = 3036.