Least Common Multiple of 676/30, 7943/277

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 676/30, 7943/277 quickly i.e. 31772 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 676/30, 7943/277 is 31772.

LCM(676/30, 7943/277) = 31772

LCM of 676/30, 7943/277

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 676/30,7943/277

Given numbers are 676/30,7943/277

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 676,7943

Least Common Multiple of Numerators i.e. LCM of 676,7943 is 31772.

GCF of Denominators means GCF of 30,277 as per the given fractions.

GCF of 30,277 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 676,7943

LCM of Fractions 676/30,7943/277 is 31772

13 676, 7943
13 52, 611
4, 47

∴ So the LCM of the given numbers is 13 x 13 x 4 x 47 = 31772

Least Common Multiple of 676,7943 with GCF Formula

Least Common Multiple of 676,7943 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 676,7943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,7943) = 169

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

GCF(676,7943) x common factors =169 x 1 = 169

LCM(676,7943) = ( 676 × 7943 ) / 169

LCM(676,7943) = 5369468 / 169

LCM(676,7943) = 31772


Lets's calculate GCF of 30,277

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31772/1

Therefore the LCM of Fractions 676/30,7943/277 is 31772

Greatest Common Factor of 30,277 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,277 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Greatest Common Factor

We found the factors 30,277 . The biggest common factor number is the GCF number.
So the greatest common factor 30,277 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 676/30, 7943/277

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 676/30, 7943/277?

Answer: LCM of Numerators as per given numbers 676/30, 7943/277 is

LCM of Numerators i.e. for 676,7943 is 31772

GCF of denominators i.e. for 30,277 is 1.

Thus, LCM of Fractions is 31772.Finally, LCM of Fractions for 676/30, 7943/277 is 31772.