Least Common Multiple of 870/825, 980/844, 676/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 870/825, 980/844, 676/400 quickly i.e. 14408940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 870/825, 980/844, 676/400 is 14408940.

LCM(870/825, 980/844, 676/400) = 14408940

LCM of 870/825, 980/844, 676/400

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 870/825,980/844,676/400

Given numbers are 870/825,980/844,676/400

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 870,980,676

Least Common Multiple of Numerators i.e. LCM of 870,980,676 is 14408940.

GCF of Denominators means GCF of 825,844,400 as per the given fractions.

GCF of 825,844,400 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 870,980,676

LCM of Fractions 870/825,980/844,676/400 is 14408940

2 870, 980, 676
2 435, 490, 338
5 435, 245, 169
87, 49, 169

∴ So the LCM of the given numbers is 2 x 2 x 5 x 87 x 49 x 169 = 14408940

Least Common Multiple of 870,980,676 with GCF Formula

Least Common Multiple of 870,980,676 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 870,980,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(870,980,676) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(870,980,676) x common factors =2 x 20 = 40

LCM(870,980,676) = ( 870 × 980 × 676 ) / 40

LCM(870,980,676) = 576357600 / 40

LCM(870,980,676) = 14408940


Lets's calculate GCF of 825,844,400

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14408940/1

Therefore the LCM of Fractions 870/825,980/844,676/400 is 14408940

Greatest Common Factor of 825,844,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 825,844,400 By Matching Biggest Common Factor Method

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 825,844,400 . The biggest common factor number is the GCF number.
So the greatest common factor 825,844,400 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 870/825, 980/844, 676/400

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 870/825, 980/844, 676/400?

Answer: LCM of Numerators as per given numbers 870/825, 980/844, 676/400 is

LCM of Numerators i.e. for 870,980,676 is 14408940

GCF of denominators i.e. for 825,844,400 is 1.

Thus, LCM of Fractions is 14408940.Finally, LCM of Fractions for 870/825, 980/844, 676/400 is 14408940.