Least Common Multiple of 83/634, 290/870, 112/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/634, 290/870, 112/548 quickly i.e. 673960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/634, 290/870, 112/548 is 673960.

LCM(83/634, 290/870, 112/548) = 673960

LCM of 83/634, 290/870, 112/548

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 83/634,290/870,112/548

Given numbers are 83/634,290/870,112/548

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 83,290,112

Least Common Multiple of Numerators i.e. LCM of 83,290,112 is 1347920.

GCF of Denominators means GCF of 634,870,548 as per the given fractions.

GCF of 634,870,548 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,290,112

LCM of Fractions 83/634,290/870,112/548 is 673960

2 83, 290, 112
83, 145, 56

∴ So the LCM of the given numbers is 2 x 83 x 145 x 56 = 1347920

Least Common Multiple of 83,290,112 with GCF Formula

Least Common Multiple of 83,290,112 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 83,290,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,290,112) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(83,290,112) x common factors =1 x 2 = 2

LCM(83,290,112) = ( 83 × 290 × 112 ) / 2

LCM(83,290,112) = 2695840 / 2

LCM(83,290,112) = 1347920


Lets's calculate GCF of 634,870,548

2 634, 870, 548
317, 435, 274

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1347920/2

Therefore the LCM of Fractions 83/634,290/870,112/548 is 673960

Greatest Common Factor of 634,870,548 By Matching Biggest Common Factor Method

Greatest Common Factor of 634,870,548 By Matching Biggest Common Factor Method

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Greatest Common Factor

We found the factors 634,870,548 . The biggest common factor number is the GCF number.
So the greatest common factor 634,870,548 is 2.


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 83/634, 290/870, 112/548

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 83/634, 290/870, 112/548?

Answer: LCM of Numerators as per given numbers 83/634, 290/870, 112/548 is

LCM of Numerators i.e. for 83,290,112 is 1347920

GCF of denominators i.e. for 634,870,548 is 2.

Thus, LCM of Fractions is 673960.Finally, LCM of Fractions for 83/634, 290/870, 112/548 is 673960.