Least Common Multiple of 513, 456, 345

Q: How to Find the LCM of 513, 456, 345 ?

Least Common Multiple of 513, 456, 345 = 471960 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, 456, 345) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 19 x 23 = 471960.

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, 456, 345 i.e. 471960 smallest integer divisible by all numbers.

Least common multiple (LCM) of 513, 456, 345 is 471960.

LCM(513, 456, 345) = 471960

LCM of 513, 456, 345

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

Least Common Multiple of 513, 456, 345 by common division method
Least Common Multiple of 513, 456, 345 with GCF Formula

Least Common Multiple of 513,456,345

Least Common Multiple (LCM) of 513,456,345 is 471960

3	513, 456, 345
19	171, 152, 115
	9, 8, 115

∴ So the LCM of the given numbers is 3 x 19 x 9 x 8 x 115 = 471960

Least Common Multiple of 513,456,345 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 513,456,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(513,456,345) = 3

common factors(in case of two or more numbers have common factors) = 57

GCF(513,456,345) x common factors =3 x 57 = 171

LCM(513,456,345) = ( 513 × 456 × 345 ) / 171

LCM(513,456,345) = 80705160 / 171

LCM(513,456,345) = 471960

∴ Least Common Multiple of 513,456,345 is 471960

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, 456, 345

1. What is the LCM of 513, 456, 345?

Answer: LCM of 513, 456, 345 is 471960.

2. What are the Factors of 471960?

Answer: Factors of 471960 are . There are integers that are factors of 471960

3. How to Find the LCM of 513, 456, 345 ?

Least Common Multiple of 513, 456, 345.

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, 456, 345) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 19 x 23 = 471960.