Least Common Multiple of 102/852, 5649/922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 102/852, 5649/922 quickly i.e. 96033 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 102/852, 5649/922 is 96033.

LCM(102/852, 5649/922) = 96033

LCM of 102/852, 5649/922

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 102/852,5649/922

Given numbers are 102/852,5649/922

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 102,5649

Least Common Multiple of Numerators i.e. LCM of 102,5649 is 192066.

GCF of Denominators means GCF of 852,922 as per the given fractions.

GCF of 852,922 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 102,5649

LCM of Fractions 102/852,5649/922 is 96033

3 102, 5649
34, 1883

∴ So the LCM of the given numbers is 3 x 34 x 1883 = 192066

Least Common Multiple of 102,5649 with GCF Formula

Least Common Multiple of 102,5649 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 102,5649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(102,5649) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(102,5649) x common factors =3 x 1 = 3

LCM(102,5649) = ( 102 × 5649 ) / 3

LCM(102,5649) = 576198 / 3

LCM(102,5649) = 192066


Lets's calculate GCF of 852,922

2 852, 922
426, 461

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 192066/2

Therefore the LCM of Fractions 102/852,5649/922 is 96033

Greatest Common Factor of 852,922 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,922 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Greatest Common Factor

We found the factors 852,922 . The biggest common factor number is the GCF number.
So the greatest common factor 852,922 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 102/852, 5649/922

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 102/852, 5649/922?

Answer: LCM of Numerators as per given numbers 102/852, 5649/922 is

LCM of Numerators i.e. for 102,5649 is 192066

GCF of denominators i.e. for 852,922 is 2.

Thus, LCM of Fractions is 96033.Finally, LCM of Fractions for 102/852, 5649/922 is 96033.