Least Common Multiple of 7712/427, 6345/805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7712/427, 6345/805 quickly i.e. 48932640/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7712/427, 6345/805 is 48932640/7.

LCM(7712/427, 6345/805) = 48932640/7

LCM of 7712/427, 6345/805

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 7712/427,6345/805

Given numbers are 7712/427,6345/805

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 7712,6345

Least Common Multiple of Numerators i.e. LCM of 7712,6345 is 48932640.

GCF of Denominators means GCF of 427,805 as per the given fractions.

GCF of 427,805 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7712,6345

LCM of Fractions 7712/427,6345/805 is 48932640/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 48932640

Least Common Multiple of 7712,6345 with GCF Formula

Least Common Multiple of 7712,6345 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 7712,6345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7712,6345) = 1

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

GCF(7712,6345) x common factors =1 x 1 = 1

LCM(7712,6345) = ( 7712 × 6345 ) / 1

LCM(7712,6345) = 48932640 / 1

LCM(7712,6345) = 48932640


Lets's calculate GCF of 427,805

7 427, 805
61, 115

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48932640/7

Therefore the LCM of Fractions 7712/427,6345/805 is 48932640/7

Greatest Common Factor of 427,805 By Matching Biggest Common Factor Method

Greatest Common Factor of 427,805 By Matching Biggest Common Factor Method

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Greatest Common Factor

We found the factors 427,805 . The biggest common factor number is the GCF number.
So the greatest common factor 427,805 is 7.


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 7712/427, 6345/805

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 7712/427, 6345/805?

Answer: LCM of Numerators as per given numbers 7712/427, 6345/805 is

LCM of Numerators i.e. for 7712,6345 is 48932640

GCF of denominators i.e. for 427,805 is 7.

Thus, LCM of Fractions is 48932640/7.Finally, LCM of Fractions for 7712/427, 6345/805 is 48932640/7.