Least Common Multiple of 70/365, 95/904, 539/353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 70/365, 95/904, 539/353 quickly i.e. 102410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/365, 95/904, 539/353 is 102410.

LCM(70/365, 95/904, 539/353) = 102410

LCM of 70/365, 95/904, 539/353

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 70/365,95/904,539/353

Given numbers are 70/365,95/904,539/353

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 70,95,539

Least Common Multiple of Numerators i.e. LCM of 70,95,539 is 102410.

GCF of Denominators means GCF of 365,904,353 as per the given fractions.

GCF of 365,904,353 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,95,539

LCM of Fractions 70/365,95/904,539/353 is 102410

5 70, 95, 539
7 14, 19, 539
2, 19, 77

∴ So the LCM of the given numbers is 5 x 7 x 2 x 19 x 77 = 102410

Least Common Multiple of 70,95,539 with GCF Formula

Least Common Multiple of 70,95,539 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 70,95,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,95,539) = 1

common factors(in case of two or more numbers have common factors) = 35

GCF(70,95,539) x common factors =1 x 35 = 35

LCM(70,95,539) = ( 70 × 95 × 539 ) / 35

LCM(70,95,539) = 3584350 / 35

LCM(70,95,539) = 102410


Lets's calculate GCF of 365,904,353

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102410/1

Therefore the LCM of Fractions 70/365,95/904,539/353 is 102410

Greatest Common Factor of 365,904,353 By Matching Biggest Common Factor Method

Greatest Common Factor of 365,904,353 By Matching Biggest Common Factor Method

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Greatest Common Factor

We found the factors 365,904,353 . The biggest common factor number is the GCF number.
So the greatest common factor 365,904,353 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 70/365, 95/904, 539/353

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 70/365, 95/904, 539/353?

Answer: LCM of Numerators as per given numbers 70/365, 95/904, 539/353 is

LCM of Numerators i.e. for 70,95,539 is 102410

GCF of denominators i.e. for 365,904,353 is 1.

Thus, LCM of Fractions is 102410.Finally, LCM of Fractions for 70/365, 95/904, 539/353 is 102410.