Least Common Multiple of 49/677, 57/113, 969/119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/677, 57/113, 969/119 quickly i.e. 47481 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/677, 57/113, 969/119 is 47481.

LCM(49/677, 57/113, 969/119) = 47481

LCM of 49/677, 57/113, 969/119

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 49/677,57/113,969/119

Given numbers are 49/677,57/113,969/119

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 49,57,969

Least Common Multiple of Numerators i.e. LCM of 49,57,969 is 47481.

GCF of Denominators means GCF of 677,113,119 as per the given fractions.

GCF of 677,113,119 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,57,969

LCM of Fractions 49/677,57/113,969/119 is 47481

3 49, 57, 969
19 49, 19, 323
49, 1, 17

∴ So the LCM of the given numbers is 3 x 19 x 49 x 1 x 17 = 47481

Least Common Multiple of 49,57,969 with GCF Formula

Least Common Multiple of 49,57,969 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 49,57,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,57,969) = 1

common factors(in case of two or more numbers have common factors) = 57

GCF(49,57,969) x common factors =1 x 57 = 57

LCM(49,57,969) = ( 49 × 57 × 969 ) / 57

LCM(49,57,969) = 2706417 / 57

LCM(49,57,969) = 47481


Lets's calculate GCF of 677,113,119

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47481/1

Therefore the LCM of Fractions 49/677,57/113,969/119 is 47481

Greatest Common Factor of 677,113,119 By Matching Biggest Common Factor Method

Greatest Common Factor of 677,113,119 By Matching Biggest Common Factor Method

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Greatest Common Factor

We found the factors 677,113,119 . The biggest common factor number is the GCF number.
So the greatest common factor 677,113,119 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 49/677, 57/113, 969/119

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 49/677, 57/113, 969/119?

Answer: LCM of Numerators as per given numbers 49/677, 57/113, 969/119 is

LCM of Numerators i.e. for 49,57,969 is 47481

GCF of denominators i.e. for 677,113,119 is 1.

Thus, LCM of Fractions is 47481.Finally, LCM of Fractions for 49/677, 57/113, 969/119 is 47481.