Least Common Multiple of 420, 561, 510

Q: How to Find the LCM of 420, 561, 510 ?

Least Common Multiple of 420, 561, 510 = 78540 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(420, 561, 510) = 2 x 2 x 3 x 5 x 7 x 11 x 17 = 78540.

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 420, 561, 510 i.e. 78540 smallest integer divisible by all numbers.

Least common multiple (LCM) of 420, 561, 510 is 78540.

LCM(420, 561, 510) = 78540

LCM of 420, 561, 510

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

Least Common Multiple of 420, 561, 510 by common division method
Least Common Multiple of 420, 561, 510 with GCF Formula

Least Common Multiple of 420,561,510

Least Common Multiple (LCM) of 420,561,510 is 78540

2	420, 561, 510
3	210, 561, 255
5	70, 187, 85
17	14, 187, 17
	14, 11, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 17 x 14 x 11 x 1 = 78540

Least Common Multiple of 420,561,510 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 420,561,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,561,510) = 3

common factors(in case of two or more numbers have common factors) = 510

GCF(420,561,510) x common factors =3 x 510 = 1530

LCM(420,561,510) = ( 420 × 561 × 510 ) / 1530

LCM(420,561,510) = 120166200 / 1530

LCM(420,561,510) = 78540

∴ Least Common Multiple of 420,561,510 is 78540

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 420, 561, 510

1. What is the LCM of 420, 561, 510?

Answer: LCM of 420, 561, 510 is 78540.

2. What are the Factors of 78540?

Answer: Factors of 78540 are . There are integers that are factors of 78540

3. How to Find the LCM of 420, 561, 510 ?

Least Common Multiple of 420, 561, 510.

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(420, 561, 510) = 2 x 2 x 3 x 5 x 7 x 11 x 17 = 78540.