Least Common Multiple of 27/748, 76/317, 766/693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/748, 76/317, 766/693 quickly i.e. 785916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/748, 76/317, 766/693 is 785916.

LCM(27/748, 76/317, 766/693) = 785916

LCM of 27/748, 76/317, 766/693

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 27/748,76/317,766/693

Given numbers are 27/748,76/317,766/693

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 27,76,766

Least Common Multiple of Numerators i.e. LCM of 27,76,766 is 785916.

GCF of Denominators means GCF of 748,317,693 as per the given fractions.

GCF of 748,317,693 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,76,766

LCM of Fractions 27/748,76/317,766/693 is 785916

2 27, 76, 766
27, 38, 383

∴ So the LCM of the given numbers is 2 x 27 x 38 x 383 = 785916

Least Common Multiple of 27,76,766 with GCF Formula

Least Common Multiple of 27,76,766 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 27,76,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,76,766) = 1

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

GCF(27,76,766) x common factors =1 x 2 = 2

LCM(27,76,766) = ( 27 × 76 × 766 ) / 2

LCM(27,76,766) = 1571832 / 2

LCM(27,76,766) = 785916


Lets's calculate GCF of 748,317,693

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 785916/1

Therefore the LCM of Fractions 27/748,76/317,766/693 is 785916

Greatest Common Factor of 748,317,693 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,317,693 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Greatest Common Factor

We found the factors 748,317,693 . The biggest common factor number is the GCF number.
So the greatest common factor 748,317,693 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 27/748, 76/317, 766/693

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 27/748, 76/317, 766/693?

Answer: LCM of Numerators as per given numbers 27/748, 76/317, 766/693 is

LCM of Numerators i.e. for 27,76,766 is 785916

GCF of denominators i.e. for 748,317,693 is 1.

Thus, LCM of Fractions is 785916.Finally, LCM of Fractions for 27/748, 76/317, 766/693 is 785916.