Least Common Multiple of 77/296, 40/145, 286/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/296, 40/145, 286/696 quickly i.e. 40040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/296, 40/145, 286/696 is 40040.

LCM(77/296, 40/145, 286/696) = 40040

LCM of 77/296, 40/145, 286/696

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 77/296,40/145,286/696

Given numbers are 77/296,40/145,286/696

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 77,40,286

Least Common Multiple of Numerators i.e. LCM of 77,40,286 is 40040.

GCF of Denominators means GCF of 296,145,696 as per the given fractions.

GCF of 296,145,696 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,40,286

LCM of Fractions 77/296,40/145,286/696 is 40040

2 77, 40, 286
11 77, 20, 143
7, 20, 13

∴ So the LCM of the given numbers is 2 x 11 x 7 x 20 x 13 = 40040

Least Common Multiple of 77,40,286 with GCF Formula

Least Common Multiple of 77,40,286 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 77,40,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,40,286) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(77,40,286) x common factors =1 x 22 = 22

LCM(77,40,286) = ( 77 × 40 × 286 ) / 22

LCM(77,40,286) = 880880 / 22

LCM(77,40,286) = 40040


Lets's calculate GCF of 296,145,696

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40040/1

Therefore the LCM of Fractions 77/296,40/145,286/696 is 40040

Greatest Common Factor of 296,145,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 296,145,696 By Matching Biggest Common Factor Method

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 296,145,696 . The biggest common factor number is the GCF number.
So the greatest common factor 296,145,696 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 77/296, 40/145, 286/696

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 77/296, 40/145, 286/696?

Answer: LCM of Numerators as per given numbers 77/296, 40/145, 286/696 is

LCM of Numerators i.e. for 77,40,286 is 40040

GCF of denominators i.e. for 296,145,696 is 1.

Thus, LCM of Fractions is 40040.Finally, LCM of Fractions for 77/296, 40/145, 286/696 is 40040.