Least Common Multiple of 210, 624, 735

Q: How to Find the LCM of 210, 624, 735 ?

Least Common Multiple of 210, 624, 735 = 152880 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(210, 624, 735) = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 7 x 13 = 152880.

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 210, 624, 735 i.e. 152880 smallest integer divisible by all numbers.

Least common multiple (LCM) of 210, 624, 735 is 152880.

LCM(210, 624, 735) = 152880

LCM of 210, 624, 735

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

Least Common Multiple of 210, 624, 735 by common division method
Least Common Multiple of 210, 624, 735 with GCF Formula

Least Common Multiple of 210,624,735

Least Common Multiple (LCM) of 210,624,735 is 152880

2	210, 624, 735
3	105, 312, 735
5	35, 104, 245
7	7, 104, 49
	1, 104, 7

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 1 x 104 x 7 = 152880

Least Common Multiple of 210,624,735 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 210,624,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,624,735) = 3

common factors(in case of two or more numbers have common factors) = 210

GCF(210,624,735) x common factors =3 x 210 = 630

LCM(210,624,735) = ( 210 × 624 × 735 ) / 630

LCM(210,624,735) = 96314400 / 630

LCM(210,624,735) = 152880

∴ Least Common Multiple of 210,624,735 is 152880

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 210, 624, 735

1. What is the LCM of 210, 624, 735?

Answer: LCM of 210, 624, 735 is 152880.

2. What are the Factors of 152880?

Answer: Factors of 152880 are . There are integers that are factors of 152880

3. How to Find the LCM of 210, 624, 735 ?

Least Common Multiple of 210, 624, 735.

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(210, 624, 735) = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 7 x 13 = 152880.