Least Common Multiple of 276/96, 877/77, 694/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 276/96, 877/77, 694/345 quickly i.e. 83992044 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 276/96, 877/77, 694/345 is 83992044.

LCM(276/96, 877/77, 694/345) = 83992044

LCM of 276/96, 877/77, 694/345

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 276/96,877/77,694/345

Given numbers are 276/96,877/77,694/345

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 276,877,694

Least Common Multiple of Numerators i.e. LCM of 276,877,694 is 83992044.

GCF of Denominators means GCF of 96,77,345 as per the given fractions.

GCF of 96,77,345 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 276,877,694

LCM of Fractions 276/96,877/77,694/345 is 83992044

2 276, 877, 694
138, 877, 347

∴ So the LCM of the given numbers is 2 x 138 x 877 x 347 = 83992044

Least Common Multiple of 276,877,694 with GCF Formula

Least Common Multiple of 276,877,694 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 276,877,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(276,877,694) = 1

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

GCF(276,877,694) x common factors =1 x 2 = 2

LCM(276,877,694) = ( 276 × 877 × 694 ) / 2

LCM(276,877,694) = 167984088 / 2

LCM(276,877,694) = 83992044


Lets's calculate GCF of 96,77,345

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83992044/1

Therefore the LCM of Fractions 276/96,877/77,694/345 is 83992044

Greatest Common Factor of 96,77,345 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,77,345 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Greatest Common Factor

We found the factors 96,77,345 . The biggest common factor number is the GCF number.
So the greatest common factor 96,77,345 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 276/96, 877/77, 694/345

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 276/96, 877/77, 694/345?

Answer: LCM of Numerators as per given numbers 276/96, 877/77, 694/345 is

LCM of Numerators i.e. for 276,877,694 is 83992044

GCF of denominators i.e. for 96,77,345 is 1.

Thus, LCM of Fractions is 83992044.Finally, LCM of Fractions for 276/96, 877/77, 694/345 is 83992044.