Least Common Multiple of 1/49, 2/75, 88/14, 81/189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1/49, 2/75, 88/14, 81/189 quickly i.e. 7128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/49, 2/75, 88/14, 81/189 is 7128.

LCM(1/49, 2/75, 88/14, 81/189) = 7128

LCM of 1/49, 2/75, 88/14, 81/189

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 1/49,2/75,88/14,81/189

Given numbers are 1/49,2/75,88/14,81/189

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 1,2,88,81

Least Common Multiple of Numerators i.e. LCM of 1,2,88,81 is 7128.

GCF of Denominators means GCF of 49,75,14,189 as per the given fractions.

GCF of 49,75,14,189 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,2,88,81

LCM of Fractions 1/49,2/75,88/14,81/189 is 7128

2 1, 2, 88, 81
1, 1, 44, 81

∴ So the LCM of the given numbers is 2 x 1 x 1 x 44 x 81 = 7128

Least Common Multiple of 1,2,88,81 with GCF Formula

Least Common Multiple of 1,2,88,81 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 1,2,88,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,2,88,81) = 1

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

GCF(1,2,88,81) x common factors =1 x 2 = 2

LCM(1,2,88,81) = ( 1 × 2 × 88 × 81 ) / 2

LCM(1,2,88,81) = 14256 / 2

LCM(1,2,88,81) = 7128


Lets's calculate GCF of 49,75,14,189

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7128/1

Therefore the LCM of Fractions 1/49,2/75,88/14,81/189 is 7128

Greatest Common Factor of 49,75,14,189 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,75,14,189 By Matching Biggest Common Factor Method

Factors of 49

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

1,7,49

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Greatest Common Factor

We found the factors 49,75,14,189 . The biggest common factor number is the GCF number.
So the greatest common factor 49,75,14,189 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 1/49, 2/75, 88/14, 81/189

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 1/49, 2/75, 88/14, 81/189?

Answer: LCM of Numerators as per given numbers 1/49, 2/75, 88/14, 81/189 is

LCM of Numerators i.e. for 1,2,88,81 is 7128

GCF of denominators i.e. for 49,75,14,189 is 1.

Thus, LCM of Fractions is 7128.Finally, LCM of Fractions for 1/49, 2/75, 88/14, 81/189 is 7128.