Least Common Multiple of 377/33, 849/31, 261/968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 377/33, 849/31, 261/968 quickly i.e. 960219 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 377/33, 849/31, 261/968 is 960219.

LCM(377/33, 849/31, 261/968) = 960219

LCM of 377/33, 849/31, 261/968

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 377/33,849/31,261/968

Given numbers are 377/33,849/31,261/968

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 377,849,261

Least Common Multiple of Numerators i.e. LCM of 377,849,261 is 960219.

GCF of Denominators means GCF of 33,31,968 as per the given fractions.

GCF of 33,31,968 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 377,849,261

LCM of Fractions 377/33,849/31,261/968 is 960219

3 377, 849, 261
29 377, 283, 87
13, 283, 3

∴ So the LCM of the given numbers is 3 x 29 x 13 x 283 x 3 = 960219

Least Common Multiple of 377,849,261 with GCF Formula

Least Common Multiple of 377,849,261 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 377,849,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(377,849,261) = 1

common factors(in case of two or more numbers have common factors) = 87

GCF(377,849,261) x common factors =1 x 87 = 87

LCM(377,849,261) = ( 377 × 849 × 261 ) / 87

LCM(377,849,261) = 83539053 / 87

LCM(377,849,261) = 960219


Lets's calculate GCF of 33,31,968

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 960219/1

Therefore the LCM of Fractions 377/33,849/31,261/968 is 960219

Greatest Common Factor of 33,31,968 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,31,968 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Greatest Common Factor

We found the factors 33,31,968 . The biggest common factor number is the GCF number.
So the greatest common factor 33,31,968 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 377/33, 849/31, 261/968

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 377/33, 849/31, 261/968?

Answer: LCM of Numerators as per given numbers 377/33, 849/31, 261/968 is

LCM of Numerators i.e. for 377,849,261 is 960219

GCF of denominators i.e. for 33,31,968 is 1.

Thus, LCM of Fractions is 960219.Finally, LCM of Fractions for 377/33, 849/31, 261/968 is 960219.