Least Common Multiple of 67/27, 49/289, 159/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/27, 49/289, 159/748 quickly i.e. 521997 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/27, 49/289, 159/748 is 521997.

LCM(67/27, 49/289, 159/748) = 521997

LCM of 67/27, 49/289, 159/748

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 67/27,49/289,159/748

Given numbers are 67/27,49/289,159/748

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 67,49,159

Least Common Multiple of Numerators i.e. LCM of 67,49,159 is 521997.

GCF of Denominators means GCF of 27,289,748 as per the given fractions.

GCF of 27,289,748 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,49,159

LCM of Fractions 67/27,49/289,159/748 is 521997

Given numbers has no common factors except 1. So, there LCM is their product i.e 521997

Least Common Multiple of 67,49,159 with GCF Formula

Least Common Multiple of 67,49,159 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 67,49,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,49,159) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(67,49,159) x common factors =1 x 1 = 1

LCM(67,49,159) = ( 67 × 49 × 159 ) / 1

LCM(67,49,159) = 521997 / 1

LCM(67,49,159) = 521997


Lets's calculate GCF of 27,289,748

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 521997/1

Therefore the LCM of Fractions 67/27,49/289,159/748 is 521997

Greatest Common Factor of 27,289,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,289,748 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 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

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

Greatest Common Factor

We found the factors 27,289,748 . The biggest common factor number is the GCF number.
So the greatest common factor 27,289,748 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 67/27, 49/289, 159/748

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 67/27, 49/289, 159/748?

Answer: LCM of Numerators as per given numbers 67/27, 49/289, 159/748 is

LCM of Numerators i.e. for 67,49,159 is 521997

GCF of denominators i.e. for 27,289,748 is 1.

Thus, LCM of Fractions is 521997.Finally, LCM of Fractions for 67/27, 49/289, 159/748 is 521997.