Least Common Multiple of 824/340, 7745/7657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 824/340, 7745/7657 quickly i.e. 6381880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 824/340, 7745/7657 is 6381880.

LCM(824/340, 7745/7657) = 6381880

LCM of 824/340, 7745/7657

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 824/340,7745/7657

Given numbers are 824/340,7745/7657

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 824,7745

Least Common Multiple of Numerators i.e. LCM of 824,7745 is 6381880.

GCF of Denominators means GCF of 340,7657 as per the given fractions.

GCF of 340,7657 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 824,7745

LCM of Fractions 824/340,7745/7657 is 6381880

Given numbers has no common factors except 1. So, there LCM is their product i.e 6381880

Least Common Multiple of 824,7745 with GCF Formula

Least Common Multiple of 824,7745 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 824,7745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,7745) = 1

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

GCF(824,7745) x common factors =1 x 1 = 1

LCM(824,7745) = ( 824 × 7745 ) / 1

LCM(824,7745) = 6381880 / 1

LCM(824,7745) = 6381880


Lets's calculate GCF of 340,7657

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6381880/1

Therefore the LCM of Fractions 824/340,7745/7657 is 6381880

Greatest Common Factor of 340,7657 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,7657 By Matching Biggest Common Factor Method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 7657

List of positive integer factors of 7657 that divides 7657 without a remainder.

1,13,19,31,247,403,589,7657

Greatest Common Factor

We found the factors 340,7657 . The biggest common factor number is the GCF number.
So the greatest common factor 340,7657 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 824/340, 7745/7657

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 824/340, 7745/7657?

Answer: LCM of Numerators as per given numbers 824/340, 7745/7657 is

LCM of Numerators i.e. for 824,7745 is 6381880

GCF of denominators i.e. for 340,7657 is 1.

Thus, LCM of Fractions is 6381880.Finally, LCM of Fractions for 824/340, 7745/7657 is 6381880.