Least Common Multiple of 676/57, 336/65, 788/663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 676/57, 336/65, 788/663 quickly i.e. 11186448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 676/57, 336/65, 788/663 is 11186448.

LCM(676/57, 336/65, 788/663) = 11186448

LCM of 676/57, 336/65, 788/663

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 676/57,336/65,788/663

Given numbers are 676/57,336/65,788/663

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 676,336,788

Least Common Multiple of Numerators i.e. LCM of 676,336,788 is 11186448.

GCF of Denominators means GCF of 57,65,663 as per the given fractions.

GCF of 57,65,663 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 676,336,788

LCM of Fractions 676/57,336/65,788/663 is 11186448

2 676, 336, 788
2 338, 168, 394
169, 84, 197

∴ So the LCM of the given numbers is 2 x 2 x 169 x 84 x 197 = 11186448

Least Common Multiple of 676,336,788 with GCF Formula

Least Common Multiple of 676,336,788 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 676,336,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,336,788) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(676,336,788) x common factors =4 x 4 = 16

LCM(676,336,788) = ( 676 × 336 × 788 ) / 16

LCM(676,336,788) = 178983168 / 16

LCM(676,336,788) = 11186448


Lets's calculate GCF of 57,65,663

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11186448/1

Therefore the LCM of Fractions 676/57,336/65,788/663 is 11186448

Greatest Common Factor of 57,65,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,65,663 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 57,65,663 . The biggest common factor number is the GCF number.
So the greatest common factor 57,65,663 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 676/57, 336/65, 788/663

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 676/57, 336/65, 788/663?

Answer: LCM of Numerators as per given numbers 676/57, 336/65, 788/663 is

LCM of Numerators i.e. for 676,336,788 is 11186448

GCF of denominators i.e. for 57,65,663 is 1.

Thus, LCM of Fractions is 11186448.Finally, LCM of Fractions for 676/57, 336/65, 788/663 is 11186448.