Least Common Multiple of 852/95, 790/95, 351/798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 852/95, 790/95, 351/798 quickly i.e. 39375180/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 852/95, 790/95, 351/798 is 39375180/19.

LCM(852/95, 790/95, 351/798) = 39375180/19

LCM of 852/95, 790/95, 351/798

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 852/95,790/95,351/798

Given numbers are 852/95,790/95,351/798

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 852,790,351

Least Common Multiple of Numerators i.e. LCM of 852,790,351 is 39375180.

GCF of Denominators means GCF of 95,95,798 as per the given fractions.

GCF of 95,95,798 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 852,790,351

LCM of Fractions 852/95,790/95,351/798 is 39375180/19

2 852, 790, 351
3 426, 395, 351
142, 395, 117

∴ So the LCM of the given numbers is 2 x 3 x 142 x 395 x 117 = 39375180

Least Common Multiple of 852,790,351 with GCF Formula

Least Common Multiple of 852,790,351 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 852,790,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,790,351) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(852,790,351) x common factors =1 x 6 = 6

LCM(852,790,351) = ( 852 × 790 × 351 ) / 6

LCM(852,790,351) = 236251080 / 6

LCM(852,790,351) = 39375180


Lets's calculate GCF of 95,95,798

19 95, 95, 798
5, 5, 42

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39375180/19

Therefore the LCM of Fractions 852/95,790/95,351/798 is 39375180/19

Greatest Common Factor of 95,95,798 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,95,798 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Greatest Common Factor

We found the factors 95,95,798 . The biggest common factor number is the GCF number.
So the greatest common factor 95,95,798 is 19.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 852/95, 790/95, 351/798

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 852/95, 790/95, 351/798?

Answer: LCM of Numerators as per given numbers 852/95, 790/95, 351/798 is

LCM of Numerators i.e. for 852,790,351 is 39375180

GCF of denominators i.e. for 95,95,798 is 19.

Thus, LCM of Fractions is 39375180/19.Finally, LCM of Fractions for 852/95, 790/95, 351/798 is 39375180/19.