Least Common Multiple of 40, 75, 43, 360

Q: How to Find the LCM of 40, 75, 43, 360 ?

Least Common Multiple of 40, 75, 43, 360 = 77400 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(40, 75, 43, 360) = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 43 = 77400.

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 40, 75, 43, 360 i.e. 77400 smallest integer divisible by all numbers.

Least common multiple (LCM) of 40, 75, 43, 360 is 77400.

LCM(40, 75, 43, 360) = 77400

LCM of 40, 75, 43, 360

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

Least Common Multiple of 40, 75, 43, 360 by common division method
Least Common Multiple of 40, 75, 43, 360 with GCF Formula

Least Common Multiple of 40,75,43,360

Least Common Multiple (LCM) of 40,75,43,360 is 77400

2	40, 75, 43, 360
2	20, 75, 43, 180
2	10, 75, 43, 90
3	5, 75, 43, 45
5	5, 25, 43, 15
	1, 5, 43, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 1 x 5 x 43 x 3 = 77400

Least Common Multiple of 40,75,43,360 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 40,75,43,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,75,43,360) = 1

common factors(in case of two or more numbers have common factors) = 600

GCF(40,75,43,360) x common factors =1 x 600 = 600

LCM(40,75,43,360) = ( 40 × 75 × 43 × 360 ) / 600

LCM(40,75,43,360) = 46440000 / 600

LCM(40,75,43,360) = 77400

∴ Least Common Multiple of 40,75,43,360 is 77400

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 40, 75, 43, 360

1. What is the LCM of 40, 75, 43, 360?

Answer: LCM of 40, 75, 43, 360 is 77400.

2. What are the Factors of 77400?

Answer: Factors of 77400 are . There are integers that are factors of 77400

3. How to Find the LCM of 40, 75, 43, 360 ?

Least Common Multiple of 40, 75, 43, 360.

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(40, 75, 43, 360) = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 43 = 77400.