Least Common Multiple of 788/34, 179/67, 983/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 788/34, 179/67, 983/168 quickly i.e. 138654116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 788/34, 179/67, 983/168 is 138654116.

LCM(788/34, 179/67, 983/168) = 138654116

LCM of 788/34, 179/67, 983/168

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 788/34,179/67,983/168

Given numbers are 788/34,179/67,983/168

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 788,179,983

Least Common Multiple of Numerators i.e. LCM of 788,179,983 is 138654116.

GCF of Denominators means GCF of 34,67,168 as per the given fractions.

GCF of 34,67,168 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 788,179,983

LCM of Fractions 788/34,179/67,983/168 is 138654116

Given numbers has no common factors except 1. So, there LCM is their product i.e 138654116

Least Common Multiple of 788,179,983 with GCF Formula

Least Common Multiple of 788,179,983 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 788,179,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(788,179,983) = 1

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

GCF(788,179,983) x common factors =1 x 1 = 1

LCM(788,179,983) = ( 788 × 179 × 983 ) / 1

LCM(788,179,983) = 138654116 / 1

LCM(788,179,983) = 138654116


Lets's calculate GCF of 34,67,168

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 138654116/1

Therefore the LCM of Fractions 788/34,179/67,983/168 is 138654116

Greatest Common Factor of 34,67,168 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,67,168 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Greatest Common Factor

We found the factors 34,67,168 . The biggest common factor number is the GCF number.
So the greatest common factor 34,67,168 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 788/34, 179/67, 983/168

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 788/34, 179/67, 983/168?

Answer: LCM of Numerators as per given numbers 788/34, 179/67, 983/168 is

LCM of Numerators i.e. for 788,179,983 is 138654116

GCF of denominators i.e. for 34,67,168 is 1.

Thus, LCM of Fractions is 138654116.Finally, LCM of Fractions for 788/34, 179/67, 983/168 is 138654116.