Least Common Multiple of 5753/975, 6040/7863

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5753/975, 6040/7863 quickly i.e. 34748120/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5753/975, 6040/7863 is 34748120/3.

LCM(5753/975, 6040/7863) = 34748120/3

LCM of 5753/975, 6040/7863

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 5753/975,6040/7863

Given numbers are 5753/975,6040/7863

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 5753,6040

Least Common Multiple of Numerators i.e. LCM of 5753,6040 is 34748120.

GCF of Denominators means GCF of 975,7863 as per the given fractions.

GCF of 975,7863 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5753,6040

LCM of Fractions 5753/975,6040/7863 is 34748120/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 34748120

Least Common Multiple of 5753,6040 with GCF Formula

Least Common Multiple of 5753,6040 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 5753,6040 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5753,6040) = 1

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

GCF(5753,6040) x common factors =1 x 1 = 1

LCM(5753,6040) = ( 5753 × 6040 ) / 1

LCM(5753,6040) = 34748120 / 1

LCM(5753,6040) = 34748120


Lets's calculate GCF of 975,7863

3 975, 7863
325, 2621

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34748120/3

Therefore the LCM of Fractions 5753/975,6040/7863 is 34748120/3

Greatest Common Factor of 975,7863 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,7863 By Matching Biggest Common Factor Method

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 7863

List of positive integer factors of 7863 that divides 7863 without a remainder.

1,3,2621,7863

Greatest Common Factor

We found the factors 975,7863 . The biggest common factor number is the GCF number.
So the greatest common factor 975,7863 is 3.


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 5753/975, 6040/7863

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 5753/975, 6040/7863?

Answer: LCM of Numerators as per given numbers 5753/975, 6040/7863 is

LCM of Numerators i.e. for 5753,6040 is 34748120

GCF of denominators i.e. for 975,7863 is 3.

Thus, LCM of Fractions is 34748120/3.Finally, LCM of Fractions for 5753/975, 6040/7863 is 34748120/3.