Least Common Multiple of 420, 514, 900

Q: How to Find the LCM of 420, 514, 900 ?

Least Common Multiple of 420, 514, 900 = 1619100 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, 514, 900) = 2 x 2 x 3 x 3 x 5 x 5 x 7 x 257 = 1619100.

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, 514, 900 i.e. 1619100 smallest integer divisible by all numbers.

Least common multiple (LCM) of 420, 514, 900 is 1619100.

LCM(420, 514, 900) = 1619100

LCM of 420, 514, 900

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

Least Common Multiple of 420, 514, 900 by common division method
Least Common Multiple of 420, 514, 900 with GCF Formula

Least Common Multiple of 420,514,900

Least Common Multiple (LCM) of 420,514,900 is 1619100

2	420, 514, 900
2	210, 257, 450
3	105, 257, 225
5	35, 257, 75
	7, 257, 15

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 7 x 257 x 15 = 1619100

Least Common Multiple of 420,514,900 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 420,514,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,514,900) = 2

common factors(in case of two or more numbers have common factors) = 60

GCF(420,514,900) x common factors =2 x 60 = 120

LCM(420,514,900) = ( 420 × 514 × 900 ) / 120

LCM(420,514,900) = 194292000 / 120

LCM(420,514,900) = 1619100

∴ Least Common Multiple of 420,514,900 is 1619100

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, 514, 900

1. What is the LCM of 420, 514, 900?

Answer: LCM of 420, 514, 900 is 1619100.

2. What are the Factors of 1619100?

Answer: Factors of 1619100 are . There are integers that are factors of 1619100

3. How to Find the LCM of 420, 514, 900 ?

Least Common Multiple of 420, 514, 900.

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, 514, 900) = 2 x 2 x 3 x 3 x 5 x 5 x 7 x 257 = 1619100.