Least Common Multiple of 54/36, 88/39, 967/174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/36, 88/39, 967/174 quickly i.e. 765864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/36, 88/39, 967/174 is 765864.

LCM(54/36, 88/39, 967/174) = 765864

LCM of 54/36, 88/39, 967/174

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 54/36,88/39,967/174

Given numbers are 54/36,88/39,967/174

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 54,88,967

Least Common Multiple of Numerators i.e. LCM of 54,88,967 is 2297592.

GCF of Denominators means GCF of 36,39,174 as per the given fractions.

GCF of 36,39,174 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,88,967

LCM of Fractions 54/36,88/39,967/174 is 765864

2 54, 88, 967
27, 44, 967

∴ So the LCM of the given numbers is 2 x 27 x 44 x 967 = 2297592

Least Common Multiple of 54,88,967 with GCF Formula

Least Common Multiple of 54,88,967 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 54,88,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,88,967) = 1

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

GCF(54,88,967) x common factors =1 x 2 = 2

LCM(54,88,967) = ( 54 × 88 × 967 ) / 2

LCM(54,88,967) = 4595184 / 2

LCM(54,88,967) = 2297592


Lets's calculate GCF of 36,39,174

3 36, 39, 174
12, 13, 58

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2297592/3

Therefore the LCM of Fractions 54/36,88/39,967/174 is 765864

Greatest Common Factor of 36,39,174 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,39,174 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Greatest Common Factor

We found the factors 36,39,174 . The biggest common factor number is the GCF number.
So the greatest common factor 36,39,174 is 3.


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 54/36, 88/39, 967/174

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 54/36, 88/39, 967/174?

Answer: LCM of Numerators as per given numbers 54/36, 88/39, 967/174 is

LCM of Numerators i.e. for 54,88,967 is 2297592

GCF of denominators i.e. for 36,39,174 is 3.

Thus, LCM of Fractions is 765864.Finally, LCM of Fractions for 54/36, 88/39, 967/174 is 765864.