Least Common Multiple of 852/108, 372/258, 782/196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 852/108, 372/258, 782/196 quickly i.e. 5163546 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 852/108, 372/258, 782/196 is 5163546.

LCM(852/108, 372/258, 782/196) = 5163546

LCM of 852/108, 372/258, 782/196

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 852/108,372/258,782/196

Given numbers are 852/108,372/258,782/196

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 852,372,782

Least Common Multiple of Numerators i.e. LCM of 852,372,782 is 10327092.

GCF of Denominators means GCF of 108,258,196 as per the given fractions.

GCF of 108,258,196 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 852,372,782

LCM of Fractions 852/108,372/258,782/196 is 5163546

2 852, 372, 782
2 426, 186, 391
3 213, 93, 391
71, 31, 391

∴ So the LCM of the given numbers is 2 x 2 x 3 x 71 x 31 x 391 = 10327092

Least Common Multiple of 852,372,782 with GCF Formula

Least Common Multiple of 852,372,782 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 852,372,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,372,782) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(852,372,782) x common factors =2 x 12 = 24

LCM(852,372,782) = ( 852 × 372 × 782 ) / 24

LCM(852,372,782) = 247850208 / 24

LCM(852,372,782) = 10327092


Lets's calculate GCF of 108,258,196

2 108, 258, 196
54, 129, 98

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10327092/2

Therefore the LCM of Fractions 852/108,372/258,782/196 is 5163546

Greatest Common Factor of 108,258,196 By Matching Biggest Common Factor Method

Greatest Common Factor of 108,258,196 By Matching Biggest Common Factor Method

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Greatest Common Factor

We found the factors 108,258,196 . The biggest common factor number is the GCF number.
So the greatest common factor 108,258,196 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 852/108, 372/258, 782/196

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 852/108, 372/258, 782/196?

Answer: LCM of Numerators as per given numbers 852/108, 372/258, 782/196 is

LCM of Numerators i.e. for 852,372,782 is 10327092

GCF of denominators i.e. for 108,258,196 is 2.

Thus, LCM of Fractions is 5163546.Finally, LCM of Fractions for 852/108, 372/258, 782/196 is 5163546.