Least Common Multiple of 532/96, 834/20, 695/982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 532/96, 834/20, 695/982 quickly i.e. 554610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 532/96, 834/20, 695/982 is 554610.

LCM(532/96, 834/20, 695/982) = 554610

LCM of 532/96, 834/20, 695/982

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 532/96,834/20,695/982

Given numbers are 532/96,834/20,695/982

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 532,834,695

Least Common Multiple of Numerators i.e. LCM of 532,834,695 is 1109220.

GCF of Denominators means GCF of 96,20,982 as per the given fractions.

GCF of 96,20,982 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 532,834,695

LCM of Fractions 532/96,834/20,695/982 is 554610

2 532, 834, 695
139 266, 417, 695
266, 3, 5

∴ So the LCM of the given numbers is 2 x 139 x 266 x 3 x 5 = 1109220

Least Common Multiple of 532,834,695 with GCF Formula

Least Common Multiple of 532,834,695 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 532,834,695 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(532,834,695) = 1

common factors(in case of two or more numbers have common factors) = 278

GCF(532,834,695) x common factors =1 x 278 = 278

LCM(532,834,695) = ( 532 × 834 × 695 ) / 278

LCM(532,834,695) = 308363160 / 278

LCM(532,834,695) = 1109220


Lets's calculate GCF of 96,20,982

2 96, 20, 982
48, 10, 491

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1109220/2

Therefore the LCM of Fractions 532/96,834/20,695/982 is 554610

Greatest Common Factor of 96,20,982 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,20,982 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Greatest Common Factor

We found the factors 96,20,982 . The biggest common factor number is the GCF number.
So the greatest common factor 96,20,982 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 532/96, 834/20, 695/982

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 532/96, 834/20, 695/982?

Answer: LCM of Numerators as per given numbers 532/96, 834/20, 695/982 is

LCM of Numerators i.e. for 532,834,695 is 1109220

GCF of denominators i.e. for 96,20,982 is 2.

Thus, LCM of Fractions is 554610.Finally, LCM of Fractions for 532/96, 834/20, 695/982 is 554610.