Least Common Multiple of 6240/872, 7793/1024

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6240/872, 7793/1024 quickly i.e. 6078540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6240/872, 7793/1024 is 6078540.

LCM(6240/872, 7793/1024) = 6078540

LCM of 6240/872, 7793/1024

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 6240/872,7793/1024

Given numbers are 6240/872,7793/1024

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 6240,7793

Least Common Multiple of Numerators i.e. LCM of 6240,7793 is 48628320.

GCF of Denominators means GCF of 872,1024 as per the given fractions.

GCF of 872,1024 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6240,7793

LCM of Fractions 6240/872,7793/1024 is 6078540

Given numbers has no common factors except 1. So, there LCM is their product i.e 48628320

Least Common Multiple of 6240,7793 with GCF Formula

Least Common Multiple of 6240,7793 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 6240,7793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6240,7793) = 1

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

GCF(6240,7793) x common factors =1 x 1 = 1

LCM(6240,7793) = ( 6240 × 7793 ) / 1

LCM(6240,7793) = 48628320 / 1

LCM(6240,7793) = 48628320


Lets's calculate GCF of 872,1024

2 872, 1024
2 436, 512
2 218, 256
109, 128

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48628320/8

Therefore the LCM of Fractions 6240/872,7793/1024 is 6078540

Greatest Common Factor of 872,1024 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,1024 By Matching Biggest Common Factor Method

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 1024

List of positive integer factors of 1024 that divides 1024 without a remainder.

1,2,4,8,16,32,64,128,256,512,1024

Greatest Common Factor

We found the factors 872,1024 . The biggest common factor number is the GCF number.
So the greatest common factor 872,1024 is 8.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6240/872, 7793/1024

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 6240/872, 7793/1024?

Answer: LCM of Numerators as per given numbers 6240/872, 7793/1024 is

LCM of Numerators i.e. for 6240,7793 is 48628320

GCF of denominators i.e. for 872,1024 is 8.

Thus, LCM of Fractions is 6078540.Finally, LCM of Fractions for 6240/872, 7793/1024 is 6078540.