Least Common Multiple of 377/761, 808/961, 214/656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 377/761, 808/961, 214/656 quickly i.e. 32593912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 377/761, 808/961, 214/656 is 32593912.

LCM(377/761, 808/961, 214/656) = 32593912

LCM of 377/761, 808/961, 214/656

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 377/761,808/961,214/656

Given numbers are 377/761,808/961,214/656

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 377,808,214

Least Common Multiple of Numerators i.e. LCM of 377,808,214 is 32593912.

GCF of Denominators means GCF of 761,961,656 as per the given fractions.

GCF of 761,961,656 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 377,808,214

LCM of Fractions 377/761,808/961,214/656 is 32593912

2 377, 808, 214
377, 404, 107

∴ So the LCM of the given numbers is 2 x 377 x 404 x 107 = 32593912

Least Common Multiple of 377,808,214 with GCF Formula

Least Common Multiple of 377,808,214 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 377,808,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(377,808,214) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(377,808,214) x common factors =1 x 2 = 2

LCM(377,808,214) = ( 377 × 808 × 214 ) / 2

LCM(377,808,214) = 65187824 / 2

LCM(377,808,214) = 32593912


Lets's calculate GCF of 761,961,656

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32593912/1

Therefore the LCM of Fractions 377/761,808/961,214/656 is 32593912

Greatest Common Factor of 761,961,656 By Matching Biggest Common Factor Method

Greatest Common Factor of 761,961,656 By Matching Biggest Common Factor Method

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Greatest Common Factor

We found the factors 761,961,656 . The biggest common factor number is the GCF number.
So the greatest common factor 761,961,656 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 377/761, 808/961, 214/656

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 377/761, 808/961, 214/656?

Answer: LCM of Numerators as per given numbers 377/761, 808/961, 214/656 is

LCM of Numerators i.e. for 377,808,214 is 32593912

GCF of denominators i.e. for 761,961,656 is 1.

Thus, LCM of Fractions is 32593912.Finally, LCM of Fractions for 377/761, 808/961, 214/656 is 32593912.