Least Common Multiple of 84/25, 175/55, 359/676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/25, 175/55, 359/676 quickly i.e. 753900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/25, 175/55, 359/676 is 753900.

LCM(84/25, 175/55, 359/676) = 753900

LCM of 84/25, 175/55, 359/676

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 84/25,175/55,359/676

Given numbers are 84/25,175/55,359/676

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 84,175,359

Least Common Multiple of Numerators i.e. LCM of 84,175,359 is 753900.

GCF of Denominators means GCF of 25,55,676 as per the given fractions.

GCF of 25,55,676 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,175,359

LCM of Fractions 84/25,175/55,359/676 is 753900

7 84, 175, 359
12, 25, 359

∴ So the LCM of the given numbers is 7 x 12 x 25 x 359 = 753900

Least Common Multiple of 84,175,359 with GCF Formula

Least Common Multiple of 84,175,359 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 84,175,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,175,359) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(84,175,359) x common factors =1 x 7 = 7

LCM(84,175,359) = ( 84 × 175 × 359 ) / 7

LCM(84,175,359) = 5277300 / 7

LCM(84,175,359) = 753900


Lets's calculate GCF of 25,55,676

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 753900/1

Therefore the LCM of Fractions 84/25,175/55,359/676 is 753900

Greatest Common Factor of 25,55,676 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,55,676 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors 25,55,676 . The biggest common factor number is the GCF number.
So the greatest common factor 25,55,676 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 84/25, 175/55, 359/676

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 84/25, 175/55, 359/676?

Answer: LCM of Numerators as per given numbers 84/25, 175/55, 359/676 is

LCM of Numerators i.e. for 84,175,359 is 753900

GCF of denominators i.e. for 25,55,676 is 1.

Thus, LCM of Fractions is 753900.Finally, LCM of Fractions for 84/25, 175/55, 359/676 is 753900.