Least Common Multiple of 7922/365, 4828/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7922/365, 4828/696 quickly i.e. 1124924 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7922/365, 4828/696 is 1124924.

LCM(7922/365, 4828/696) = 1124924

LCM of 7922/365, 4828/696

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 7922/365,4828/696

Given numbers are 7922/365,4828/696

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 7922,4828

Least Common Multiple of Numerators i.e. LCM of 7922,4828 is 1124924.

GCF of Denominators means GCF of 365,696 as per the given fractions.

GCF of 365,696 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7922,4828

LCM of Fractions 7922/365,4828/696 is 1124924

2 7922, 4828
17 3961, 2414
233, 142

∴ So the LCM of the given numbers is 2 x 17 x 233 x 142 = 1124924

Least Common Multiple of 7922,4828 with GCF Formula

Least Common Multiple of 7922,4828 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 7922,4828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7922,4828) = 34

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

GCF(7922,4828) x common factors =34 x 1 = 34

LCM(7922,4828) = ( 7922 × 4828 ) / 34

LCM(7922,4828) = 38247416 / 34

LCM(7922,4828) = 1124924


Lets's calculate GCF of 365,696

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1124924/1

Therefore the LCM of Fractions 7922/365,4828/696 is 1124924

Greatest Common Factor of 365,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 365,696 By Matching Biggest Common Factor Method

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 365,696 . The biggest common factor number is the GCF number.
So the greatest common factor 365,696 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7922/365, 4828/696

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 7922/365, 4828/696?

Answer: LCM of Numerators as per given numbers 7922/365, 4828/696 is

LCM of Numerators i.e. for 7922,4828 is 1124924

GCF of denominators i.e. for 365,696 is 1.

Thus, LCM of Fractions is 1124924.Finally, LCM of Fractions for 7922/365, 4828/696 is 1124924.