Least Common Multiple of 70/321, 460/339, 542/817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/321, 460/339, 542/817 quickly i.e. 872620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/321, 460/339, 542/817 is 872620.

LCM(70/321, 460/339, 542/817) = 872620

LCM of 70/321, 460/339, 542/817

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 70/321,460/339,542/817

Given numbers are 70/321,460/339,542/817

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 70,460,542

Least Common Multiple of Numerators i.e. LCM of 70,460,542 is 872620.

GCF of Denominators means GCF of 321,339,817 as per the given fractions.

GCF of 321,339,817 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,460,542

LCM of Fractions 70/321,460/339,542/817 is 872620

2 70, 460, 542
5 35, 230, 271
7, 46, 271

∴ So the LCM of the given numbers is 2 x 5 x 7 x 46 x 271 = 872620

Least Common Multiple of 70,460,542 with GCF Formula

Least Common Multiple of 70,460,542 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 70,460,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,460,542) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(70,460,542) x common factors =2 x 10 = 20

LCM(70,460,542) = ( 70 × 460 × 542 ) / 20

LCM(70,460,542) = 17452400 / 20

LCM(70,460,542) = 872620


Lets's calculate GCF of 321,339,817

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 872620/1

Therefore the LCM of Fractions 70/321,460/339,542/817 is 872620

Greatest Common Factor of 321,339,817 By Matching Biggest Common Factor Method

Greatest Common Factor of 321,339,817 By Matching Biggest Common Factor Method

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Greatest Common Factor

We found the factors 321,339,817 . The biggest common factor number is the GCF number.
So the greatest common factor 321,339,817 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 70/321, 460/339, 542/817

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 70/321, 460/339, 542/817?

Answer: LCM of Numerators as per given numbers 70/321, 460/339, 542/817 is

LCM of Numerators i.e. for 70,460,542 is 872620

GCF of denominators i.e. for 321,339,817 is 1.

Thus, LCM of Fractions is 872620.Finally, LCM of Fractions for 70/321, 460/339, 542/817 is 872620.