Least Common Multiple of 342, 735, 720

Q: How to Find the LCM of 342, 735, 720 ?

Least Common Multiple of 342, 735, 720 = 670320 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(342, 735, 720) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 7 x 19 = 670320.

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 342, 735, 720 i.e. 670320 smallest integer divisible by all numbers.

Least common multiple (LCM) of 342, 735, 720 is 670320.

LCM(342, 735, 720) = 670320

LCM of 342, 735, 720

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

Least Common Multiple of 342, 735, 720 by common division method
Least Common Multiple of 342, 735, 720 with GCF Formula

Least Common Multiple of 342,735,720

Least Common Multiple (LCM) of 342,735,720 is 670320

2	342, 735, 720
3	171, 735, 360
3	57, 245, 120
5	19, 245, 40
	19, 49, 8

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 19 x 49 x 8 = 670320

Least Common Multiple of 342,735,720 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 342,735,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,735,720) = 3

common factors(in case of two or more numbers have common factors) = 90

GCF(342,735,720) x common factors =3 x 90 = 270

LCM(342,735,720) = ( 342 × 735 × 720 ) / 270

LCM(342,735,720) = 180986400 / 270

LCM(342,735,720) = 670320

∴ Least Common Multiple of 342,735,720 is 670320

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 342, 735, 720

1. What is the LCM of 342, 735, 720?

Answer: LCM of 342, 735, 720 is 670320.

2. What are the Factors of 670320?

Answer: Factors of 670320 are . There are integers that are factors of 670320

3. How to Find the LCM of 342, 735, 720 ?

Least Common Multiple of 342, 735, 720.

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(342, 735, 720) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 7 x 19 = 670320.