Least Common Multiple of 8/27, 5/48, 2/92, 14/763

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/27, 5/48, 2/92, 14/763 quickly i.e. 280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/27, 5/48, 2/92, 14/763 is 280.

LCM(8/27, 5/48, 2/92, 14/763) = 280

LCM of 8/27, 5/48, 2/92, 14/763

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 8/27,5/48,2/92,14/763

Given numbers are 8/27,5/48,2/92,14/763

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 8,5,2,14

Least Common Multiple of Numerators i.e. LCM of 8,5,2,14 is 280.

GCF of Denominators means GCF of 27,48,92,763 as per the given fractions.

GCF of 27,48,92,763 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,5,2,14

LCM of Fractions 8/27,5/48,2/92,14/763 is 280

2 8, 5, 2, 14
4, 5, 1, 7

∴ So the LCM of the given numbers is 2 x 4 x 5 x 1 x 7 = 280

Least Common Multiple of 8,5,2,14 with GCF Formula

Least Common Multiple of 8,5,2,14 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 8,5,2,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,5,2,14) = 1

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

GCF(8,5,2,14) x common factors =1 x 4 = 4

LCM(8,5,2,14) = ( 8 × 5 × 2 × 14 ) / 4

LCM(8,5,2,14) = 1120 / 4

LCM(8,5,2,14) = 280


Lets's calculate GCF of 27,48,92,763

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 280/1

Therefore the LCM of Fractions 8/27,5/48,2/92,14/763 is 280

Greatest Common Factor of 27,48,92,763 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,48,92,763 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

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

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Greatest Common Factor

We found the factors 27,48,92,763 . The biggest common factor number is the GCF number.
So the greatest common factor 27,48,92,763 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 8/27, 5/48, 2/92, 14/763

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 8/27, 5/48, 2/92, 14/763?

Answer: LCM of Numerators as per given numbers 8/27, 5/48, 2/92, 14/763 is

LCM of Numerators i.e. for 8,5,2,14 is 280

GCF of denominators i.e. for 27,48,92,763 is 1.

Thus, LCM of Fractions is 280.Finally, LCM of Fractions for 8/27, 5/48, 2/92, 14/763 is 280.