Least Common Multiple of 3008/456, 7627/5927

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3008/456, 7627/5927 quickly i.e. 22942016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3008/456, 7627/5927 is 22942016.

LCM(3008/456, 7627/5927) = 22942016

LCM of 3008/456, 7627/5927

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 3008/456,7627/5927

Given numbers are 3008/456,7627/5927

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 3008,7627

Least Common Multiple of Numerators i.e. LCM of 3008,7627 is 22942016.

GCF of Denominators means GCF of 456,5927 as per the given fractions.

GCF of 456,5927 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3008,7627

LCM of Fractions 3008/456,7627/5927 is 22942016

Given numbers has no common factors except 1. So, there LCM is their product i.e 22942016

Least Common Multiple of 3008,7627 with GCF Formula

Least Common Multiple of 3008,7627 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 3008,7627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3008,7627) = 1

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

GCF(3008,7627) x common factors =1 x 1 = 1

LCM(3008,7627) = ( 3008 × 7627 ) / 1

LCM(3008,7627) = 22942016 / 1

LCM(3008,7627) = 22942016


Lets's calculate GCF of 456,5927

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22942016/1

Therefore the LCM of Fractions 3008/456,7627/5927 is 22942016

Greatest Common Factor of 456,5927 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,5927 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 5927

List of positive integer factors of 5927 that divides 5927 without a remainder.

1,5927

Greatest Common Factor

We found the factors 456,5927 . The biggest common factor number is the GCF number.
So the greatest common factor 456,5927 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 3008/456, 7627/5927

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 3008/456, 7627/5927?

Answer: LCM of Numerators as per given numbers 3008/456, 7627/5927 is

LCM of Numerators i.e. for 3008,7627 is 22942016

GCF of denominators i.e. for 456,5927 is 1.

Thus, LCM of Fractions is 22942016.Finally, LCM of Fractions for 3008/456, 7627/5927 is 22942016.