Least Common Multiple of 2152/788, 4059/2101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2152/788, 4059/2101 quickly i.e. 8734968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2152/788, 4059/2101 is 8734968.

LCM(2152/788, 4059/2101) = 8734968

LCM of 2152/788, 4059/2101

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 2152/788,4059/2101

Given numbers are 2152/788,4059/2101

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 2152,4059

Least Common Multiple of Numerators i.e. LCM of 2152,4059 is 8734968.

GCF of Denominators means GCF of 788,2101 as per the given fractions.

GCF of 788,2101 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2152,4059

LCM of Fractions 2152/788,4059/2101 is 8734968

Given numbers has no common factors except 1. So, there LCM is their product i.e 8734968

Least Common Multiple of 2152,4059 with GCF Formula

Least Common Multiple of 2152,4059 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 2152,4059 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2152,4059) = 1

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

GCF(2152,4059) x common factors =1 x 1 = 1

LCM(2152,4059) = ( 2152 × 4059 ) / 1

LCM(2152,4059) = 8734968 / 1

LCM(2152,4059) = 8734968


Lets's calculate GCF of 788,2101

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8734968/1

Therefore the LCM of Fractions 2152/788,4059/2101 is 8734968

Greatest Common Factor of 788,2101 By Matching Biggest Common Factor Method

Greatest Common Factor of 788,2101 By Matching Biggest Common Factor Method

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Factors of 2101

List of positive integer factors of 2101 that divides 2101 without a remainder.

1,11,191,2101

Greatest Common Factor

We found the factors 788,2101 . The biggest common factor number is the GCF number.
So the greatest common factor 788,2101 is 1.


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 2152/788, 4059/2101

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 2152/788, 4059/2101?

Answer: LCM of Numerators as per given numbers 2152/788, 4059/2101 is

LCM of Numerators i.e. for 2152,4059 is 8734968

GCF of denominators i.e. for 788,2101 is 1.

Thus, LCM of Fractions is 8734968.Finally, LCM of Fractions for 2152/788, 4059/2101 is 8734968.