Least Common Multiple of 745, 300, 508

Q: How to Find the LCM of 745, 300, 508 ?

Least Common Multiple of 745, 300, 508 = 5676900 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(745, 300, 508) = 2 x 2 x 3 x 5 x 5 x 127 x 149 = 5676900.

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 745, 300, 508 i.e. 5676900 smallest integer divisible by all numbers.

Least common multiple (LCM) of 745, 300, 508 is 5676900.

LCM(745, 300, 508) = 5676900

LCM of 745, 300, 508

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

Least Common Multiple of 745, 300, 508 by common division method
Least Common Multiple of 745, 300, 508 with GCF Formula

Least Common Multiple of 745,300,508

Least Common Multiple (LCM) of 745,300,508 is 5676900

2	745, 300, 508
2	745, 150, 254
5	745, 75, 127
	149, 15, 127

∴ So the LCM of the given numbers is 2 x 2 x 5 x 149 x 15 x 127 = 5676900

Least Common Multiple of 745,300,508 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 745,300,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(745,300,508) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(745,300,508) x common factors =1 x 20 = 20

LCM(745,300,508) = ( 745 × 300 × 508 ) / 20

LCM(745,300,508) = 113538000 / 20

LCM(745,300,508) = 5676900

∴ Least Common Multiple of 745,300,508 is 5676900

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 745, 300, 508

1. What is the LCM of 745, 300, 508?

Answer: LCM of 745, 300, 508 is 5676900.

2. What are the Factors of 5676900?

Answer: Factors of 5676900 are . There are integers that are factors of 5676900

3. How to Find the LCM of 745, 300, 508 ?

Least Common Multiple of 745, 300, 508.

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(745, 300, 508) = 2 x 2 x 3 x 5 x 5 x 127 x 149 = 5676900.