Least Common Multiple of 513, 195, 742, 338

Q: How to Find the LCM of 513, 195, 742, 338 ?

Least Common Multiple of 513, 195, 742, 338 = 321645870 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, 195, 742, 338) = 2 x 3 x 3 x 3 x 5 x 7 x 13 x 13 x 19 x 53 = 321645870.

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, 195, 742, 338 i.e. 321645870 smallest integer divisible by all numbers.

Least common multiple (LCM) of 513, 195, 742, 338 is 321645870.

LCM(513, 195, 742, 338) = 321645870

LCM of 513, 195, 742, 338

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

Least Common Multiple of 513, 195, 742, 338 by common division method
Least Common Multiple of 513, 195, 742, 338 with GCF Formula

Least Common Multiple of 513,195,742,338

Least Common Multiple (LCM) of 513,195,742,338 is 321645870

2	513, 195, 742, 338
3	513, 195, 371, 169
13	171, 65, 371, 169
	171, 5, 371, 13

∴ So the LCM of the given numbers is 2 x 3 x 13 x 171 x 5 x 371 x 13 = 321645870

Least Common Multiple of 513,195,742,338 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 513,195,742,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(513,195,742,338) = 1

common factors(in case of two or more numbers have common factors) = 78

GCF(513,195,742,338) x common factors =1 x 78 = 78

LCM(513,195,742,338) = ( 513 × 195 × 742 × 338 ) / 78

LCM(513,195,742,338) = 25088377860 / 78

LCM(513,195,742,338) = 321645870

∴ Least Common Multiple of 513,195,742,338 is 321645870

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 513, 195, 742, 338

1. What is the LCM of 513, 195, 742, 338?

Answer: LCM of 513, 195, 742, 338 is 321645870.

2. What are the Factors of 321645870?

Answer: Factors of 321645870 are . There are integers that are factors of 321645870

3. How to Find the LCM of 513, 195, 742, 338 ?

Least Common Multiple of 513, 195, 742, 338.

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, 195, 742, 338) = 2 x 3 x 3 x 3 x 5 x 7 x 13 x 13 x 19 x 53 = 321645870.