Least Common Multiple of 70/75, 368/35, 508/239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/75, 368/35, 508/239 quickly i.e. 1635760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/75, 368/35, 508/239 is 1635760.

LCM(70/75, 368/35, 508/239) = 1635760

LCM of 70/75, 368/35, 508/239

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 70/75,368/35,508/239

Given numbers are 70/75,368/35,508/239

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 70,368,508

Least Common Multiple of Numerators i.e. LCM of 70,368,508 is 1635760.

GCF of Denominators means GCF of 75,35,239 as per the given fractions.

GCF of 75,35,239 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,368,508

LCM of Fractions 70/75,368/35,508/239 is 1635760

2 70, 368, 508
2 35, 184, 254
35, 92, 127

∴ So the LCM of the given numbers is 2 x 2 x 35 x 92 x 127 = 1635760

Least Common Multiple of 70,368,508 with GCF Formula

Least Common Multiple of 70,368,508 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 70,368,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,368,508) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(70,368,508) x common factors =2 x 4 = 8

LCM(70,368,508) = ( 70 × 368 × 508 ) / 8

LCM(70,368,508) = 13086080 / 8

LCM(70,368,508) = 1635760


Lets's calculate GCF of 75,35,239

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1635760/1

Therefore the LCM of Fractions 70/75,368/35,508/239 is 1635760

Greatest Common Factor of 75,35,239 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,35,239 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Greatest Common Factor

We found the factors 75,35,239 . The biggest common factor number is the GCF number.
So the greatest common factor 75,35,239 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 70/75, 368/35, 508/239

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 70/75, 368/35, 508/239?

Answer: LCM of Numerators as per given numbers 70/75, 368/35, 508/239 is

LCM of Numerators i.e. for 70,368,508 is 1635760

GCF of denominators i.e. for 75,35,239 is 1.

Thus, LCM of Fractions is 1635760.Finally, LCM of Fractions for 70/75, 368/35, 508/239 is 1635760.