Least Common Multiple of 84/178, 14/981, 817/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/178, 14/981, 817/123 quickly i.e. 68628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/178, 14/981, 817/123 is 68628.

LCM(84/178, 14/981, 817/123) = 68628

LCM of 84/178, 14/981, 817/123

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 84/178,14/981,817/123

Given numbers are 84/178,14/981,817/123

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 84,14,817

Least Common Multiple of Numerators i.e. LCM of 84,14,817 is 68628.

GCF of Denominators means GCF of 178,981,123 as per the given fractions.

GCF of 178,981,123 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,14,817

LCM of Fractions 84/178,14/981,817/123 is 68628

2 84, 14, 817
7 42, 7, 817
6, 1, 817

∴ So the LCM of the given numbers is 2 x 7 x 6 x 1 x 817 = 68628

Least Common Multiple of 84,14,817 with GCF Formula

Least Common Multiple of 84,14,817 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 84,14,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,14,817) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(84,14,817) x common factors =1 x 14 = 14

LCM(84,14,817) = ( 84 × 14 × 817 ) / 14

LCM(84,14,817) = 960792 / 14

LCM(84,14,817) = 68628


Lets's calculate GCF of 178,981,123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68628/1

Therefore the LCM of Fractions 84/178,14/981,817/123 is 68628

Greatest Common Factor of 178,981,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 178,981,123 By Matching Biggest Common Factor Method

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 178,981,123 . The biggest common factor number is the GCF number.
So the greatest common factor 178,981,123 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 84/178, 14/981, 817/123

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 84/178, 14/981, 817/123?

Answer: LCM of Numerators as per given numbers 84/178, 14/981, 817/123 is

LCM of Numerators i.e. for 84,14,817 is 68628

GCF of denominators i.e. for 178,981,123 is 1.

Thus, LCM of Fractions is 68628.Finally, LCM of Fractions for 84/178, 14/981, 817/123 is 68628.