Least Common Multiple of 513, 300, 456

Q: How to Find the LCM of 513, 300, 456 ?

Least Common Multiple of 513, 300, 456 = 102600 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(513, 300, 456) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 19 = 102600.

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 513, 300, 456 i.e. 102600 smallest integer divisible by all numbers.

Least common multiple (LCM) of 513, 300, 456 is 102600.

LCM(513, 300, 456) = 102600

LCM of 513, 300, 456

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

Least Common Multiple of 513, 300, 456 by common division method
Least Common Multiple of 513, 300, 456 with GCF Formula

Least Common Multiple of 513,300,456

Least Common Multiple (LCM) of 513,300,456 is 102600

2	513, 300, 456
2	513, 150, 228
3	513, 75, 114
19	171, 25, 38
	9, 25, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 9 x 25 x 2 = 102600

Least Common Multiple of 513,300,456 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 513,300,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(513,300,456) = 3

common factors(in case of two or more numbers have common factors) = 228

GCF(513,300,456) x common factors =3 x 228 = 684

LCM(513,300,456) = ( 513 × 300 × 456 ) / 684

LCM(513,300,456) = 70178400 / 684

LCM(513,300,456) = 102600

∴ Least Common Multiple of 513,300,456 is 102600

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 513, 300, 456

1. What is the LCM of 513, 300, 456?

Answer: LCM of 513, 300, 456 is 102600.

2. What are the Factors of 102600?

Answer: Factors of 102600 are . There are integers that are factors of 102600

3. How to Find the LCM of 513, 300, 456 ?

Least Common Multiple of 513, 300, 456.

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(513, 300, 456) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 19 = 102600.