Least Common Multiple of 101/54, 681/59, 177/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 101/54, 681/59, 177/114 quickly i.e. 4058079 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 101/54, 681/59, 177/114 is 4058079.

LCM(101/54, 681/59, 177/114) = 4058079

LCM of 101/54, 681/59, 177/114

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 101/54,681/59,177/114

Given numbers are 101/54,681/59,177/114

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 101,681,177

Least Common Multiple of Numerators i.e. LCM of 101,681,177 is 4058079.

GCF of Denominators means GCF of 54,59,114 as per the given fractions.

GCF of 54,59,114 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 101,681,177

LCM of Fractions 101/54,681/59,177/114 is 4058079

3 101, 681, 177
101, 227, 59

∴ So the LCM of the given numbers is 3 x 101 x 227 x 59 = 4058079

Least Common Multiple of 101,681,177 with GCF Formula

Least Common Multiple of 101,681,177 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 101,681,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(101,681,177) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(101,681,177) x common factors =1 x 3 = 3

LCM(101,681,177) = ( 101 × 681 × 177 ) / 3

LCM(101,681,177) = 12174237 / 3

LCM(101,681,177) = 4058079


Lets's calculate GCF of 54,59,114

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4058079/1

Therefore the LCM of Fractions 101/54,681/59,177/114 is 4058079

Greatest Common Factor of 54,59,114 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,59,114 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Greatest Common Factor

We found the factors 54,59,114 . The biggest common factor number is the GCF number.
So the greatest common factor 54,59,114 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 101/54, 681/59, 177/114

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 101/54, 681/59, 177/114?

Answer: LCM of Numerators as per given numbers 101/54, 681/59, 177/114 is

LCM of Numerators i.e. for 101,681,177 is 4058079

GCF of denominators i.e. for 54,59,114 is 1.

Thus, LCM of Fractions is 4058079.Finally, LCM of Fractions for 101/54, 681/59, 177/114 is 4058079.