Least Common Multiple of 960/49, 108/84, 677/935

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 960/49, 108/84, 677/935 quickly i.e. 5849280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 960/49, 108/84, 677/935 is 5849280.

LCM(960/49, 108/84, 677/935) = 5849280

LCM of 960/49, 108/84, 677/935

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 960/49,108/84,677/935

Given numbers are 960/49,108/84,677/935

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 960,108,677

Least Common Multiple of Numerators i.e. LCM of 960,108,677 is 5849280.

GCF of Denominators means GCF of 49,84,935 as per the given fractions.

GCF of 49,84,935 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 960,108,677

LCM of Fractions 960/49,108/84,677/935 is 5849280

2 960, 108, 677
2 480, 54, 677
3 240, 27, 677
80, 9, 677

∴ So the LCM of the given numbers is 2 x 2 x 3 x 80 x 9 x 677 = 5849280

Least Common Multiple of 960,108,677 with GCF Formula

Least Common Multiple of 960,108,677 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 960,108,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,108,677) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(960,108,677) x common factors =1 x 12 = 12

LCM(960,108,677) = ( 960 × 108 × 677 ) / 12

LCM(960,108,677) = 70191360 / 12

LCM(960,108,677) = 5849280


Lets's calculate GCF of 49,84,935

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5849280/1

Therefore the LCM of Fractions 960/49,108/84,677/935 is 5849280

Greatest Common Factor of 49,84,935 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,84,935 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

Greatest Common Factor

We found the factors 49,84,935 . The biggest common factor number is the GCF number.
So the greatest common factor 49,84,935 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 960/49, 108/84, 677/935

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 960/49, 108/84, 677/935?

Answer: LCM of Numerators as per given numbers 960/49, 108/84, 677/935 is

LCM of Numerators i.e. for 960,108,677 is 5849280

GCF of denominators i.e. for 49,84,935 is 1.

Thus, LCM of Fractions is 5849280.Finally, LCM of Fractions for 960/49, 108/84, 677/935 is 5849280.