Least Common Multiple of 6/27, 9/49, 34/98, 54/749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/27, 9/49, 34/98, 54/749 quickly i.e. 918 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/27, 9/49, 34/98, 54/749 is 918.

LCM(6/27, 9/49, 34/98, 54/749) = 918

LCM of 6/27, 9/49, 34/98, 54/749

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 6/27,9/49,34/98,54/749

Given numbers are 6/27,9/49,34/98,54/749

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 6,9,34,54

Least Common Multiple of Numerators i.e. LCM of 6,9,34,54 is 918.

GCF of Denominators means GCF of 27,49,98,749 as per the given fractions.

GCF of 27,49,98,749 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,9,34,54

LCM of Fractions 6/27,9/49,34/98,54/749 is 918

2 6, 9, 34, 54
3 3, 9, 17, 27
3 1, 3, 17, 9
1, 1, 17, 3

∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 1 x 17 x 3 = 918

Least Common Multiple of 6,9,34,54 with GCF Formula

Least Common Multiple of 6,9,34,54 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 6,9,34,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,9,34,54) = 1

common factors(in case of two or more numbers have common factors) = 108

GCF(6,9,34,54) x common factors =1 x 108 = 108

LCM(6,9,34,54) = ( 6 × 9 × 34 × 54 ) / 108

LCM(6,9,34,54) = 99144 / 108

LCM(6,9,34,54) = 918


Lets's calculate GCF of 27,49,98,749

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 918/1

Therefore the LCM of Fractions 6/27,9/49,34/98,54/749 is 918

Greatest Common Factor of 27,49,98,749 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,49,98,749 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 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Greatest Common Factor

We found the factors 27,49,98,749 . The biggest common factor number is the GCF number.
So the greatest common factor 27,49,98,749 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 6/27, 9/49, 34/98, 54/749

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 6/27, 9/49, 34/98, 54/749?

Answer: LCM of Numerators as per given numbers 6/27, 9/49, 34/98, 54/749 is

LCM of Numerators i.e. for 6,9,34,54 is 918

GCF of denominators i.e. for 27,49,98,749 is 1.

Thus, LCM of Fractions is 918.Finally, LCM of Fractions for 6/27, 9/49, 34/98, 54/749 is 918.