Least Common Multiple of 345, 567, 840

Q: How to Find the LCM of 345, 567, 840 ?

Least Common Multiple of 345, 567, 840 = 521640 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(345, 567, 840) = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 7 x 23 = 521640.

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 345, 567, 840 i.e. 521640 smallest integer divisible by all numbers.

Least common multiple (LCM) of 345, 567, 840 is 521640.

LCM(345, 567, 840) = 521640

LCM of 345, 567, 840

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

Least Common Multiple of 345, 567, 840 by common division method
Least Common Multiple of 345, 567, 840 with GCF Formula

Least Common Multiple of 345,567,840

Least Common Multiple (LCM) of 345,567,840 is 521640

3	345, 567, 840
5	115, 189, 280
7	23, 189, 56
	23, 27, 8

∴ So the LCM of the given numbers is 3 x 5 x 7 x 23 x 27 x 8 = 521640

Least Common Multiple of 345,567,840 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 345,567,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,567,840) = 3

common factors(in case of two or more numbers have common factors) = 105

GCF(345,567,840) x common factors =3 x 105 = 315

LCM(345,567,840) = ( 345 × 567 × 840 ) / 315

LCM(345,567,840) = 164316600 / 315

LCM(345,567,840) = 521640

∴ Least Common Multiple of 345,567,840 is 521640

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 345, 567, 840

1. What is the LCM of 345, 567, 840?

Answer: LCM of 345, 567, 840 is 521640.

2. What are the Factors of 521640?

Answer: Factors of 521640 are . There are integers that are factors of 521640

3. How to Find the LCM of 345, 567, 840 ?

Least Common Multiple of 345, 567, 840.

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(345, 567, 840) = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 7 x 23 = 521640.