Least Common Multiple of 73/769, 72/844, 208/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/769, 72/844, 208/172 quickly i.e. 136656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/769, 72/844, 208/172 is 136656.

LCM(73/769, 72/844, 208/172) = 136656

LCM of 73/769, 72/844, 208/172

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 73/769,72/844,208/172

Given numbers are 73/769,72/844,208/172

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 73,72,208

Least Common Multiple of Numerators i.e. LCM of 73,72,208 is 136656.

GCF of Denominators means GCF of 769,844,172 as per the given fractions.

GCF of 769,844,172 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,72,208

LCM of Fractions 73/769,72/844,208/172 is 136656

2 73, 72, 208
2 73, 36, 104
2 73, 18, 52
73, 9, 26

∴ So the LCM of the given numbers is 2 x 2 x 2 x 73 x 9 x 26 = 136656

Least Common Multiple of 73,72,208 with GCF Formula

Least Common Multiple of 73,72,208 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 73,72,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,72,208) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(73,72,208) x common factors =1 x 8 = 8

LCM(73,72,208) = ( 73 × 72 × 208 ) / 8

LCM(73,72,208) = 1093248 / 8

LCM(73,72,208) = 136656


Lets's calculate GCF of 769,844,172

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136656/1

Therefore the LCM of Fractions 73/769,72/844,208/172 is 136656

Greatest Common Factor of 769,844,172 By Matching Biggest Common Factor Method

Greatest Common Factor of 769,844,172 By Matching Biggest Common Factor Method

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Greatest Common Factor

We found the factors 769,844,172 . The biggest common factor number is the GCF number.
So the greatest common factor 769,844,172 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 73/769, 72/844, 208/172

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 73/769, 72/844, 208/172?

Answer: LCM of Numerators as per given numbers 73/769, 72/844, 208/172 is

LCM of Numerators i.e. for 73,72,208 is 136656

GCF of denominators i.e. for 769,844,172 is 1.

Thus, LCM of Fractions is 136656.Finally, LCM of Fractions for 73/769, 72/844, 208/172 is 136656.