Least Common Multiple of 468, 628, 745

Q: How to Find the LCM of 468, 628, 745 ?

Least Common Multiple of 468, 628, 745 = 54739620 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(468, 628, 745) = 2 x 2 x 3 x 3 x 5 x 13 x 149 x 157 = 54739620.

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 468, 628, 745 i.e. 54739620 smallest integer divisible by all numbers.

Least common multiple (LCM) of 468, 628, 745 is 54739620.

LCM(468, 628, 745) = 54739620

LCM of 468, 628, 745

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

Least Common Multiple of 468, 628, 745 by common division method
Least Common Multiple of 468, 628, 745 with GCF Formula

Least Common Multiple of 468,628,745

Least Common Multiple (LCM) of 468,628,745 is 54739620

2	468, 628, 745
2	234, 314, 745
	117, 157, 745

∴ So the LCM of the given numbers is 2 x 2 x 117 x 157 x 745 = 54739620

Least Common Multiple of 468,628,745 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 468,628,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,628,745) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(468,628,745) x common factors =1 x 4 = 4

LCM(468,628,745) = ( 468 × 628 × 745 ) / 4

LCM(468,628,745) = 218958480 / 4

LCM(468,628,745) = 54739620

∴ Least Common Multiple of 468,628,745 is 54739620

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 468, 628, 745

1. What is the LCM of 468, 628, 745?

Answer: LCM of 468, 628, 745 is 54739620.

2. What are the Factors of 54739620?

Answer: Factors of 54739620 are . There are integers that are factors of 54739620

3. How to Find the LCM of 468, 628, 745 ?

Least Common Multiple of 468, 628, 745.

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(468, 628, 745) = 2 x 2 x 3 x 3 x 5 x 13 x 149 x 157 = 54739620.