Least Common Multiple of 77/174, 177/269, 291/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/174, 177/269, 291/796 quickly i.e. 1322013 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/174, 177/269, 291/796 is 1322013.

LCM(77/174, 177/269, 291/796) = 1322013

LCM of 77/174, 177/269, 291/796

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 77/174,177/269,291/796

Given numbers are 77/174,177/269,291/796

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 77,177,291

Least Common Multiple of Numerators i.e. LCM of 77,177,291 is 1322013.

GCF of Denominators means GCF of 174,269,796 as per the given fractions.

GCF of 174,269,796 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,177,291

LCM of Fractions 77/174,177/269,291/796 is 1322013

3 77, 177, 291
77, 59, 97

∴ So the LCM of the given numbers is 3 x 77 x 59 x 97 = 1322013

Least Common Multiple of 77,177,291 with GCF Formula

Least Common Multiple of 77,177,291 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 77,177,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,177,291) = 1

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

GCF(77,177,291) x common factors =1 x 3 = 3

LCM(77,177,291) = ( 77 × 177 × 291 ) / 3

LCM(77,177,291) = 3966039 / 3

LCM(77,177,291) = 1322013


Lets's calculate GCF of 174,269,796

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1322013/1

Therefore the LCM of Fractions 77/174,177/269,291/796 is 1322013

Greatest Common Factor of 174,269,796 By Matching Biggest Common Factor Method

Greatest Common Factor of 174,269,796 By Matching Biggest Common Factor Method

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Greatest Common Factor

We found the factors 174,269,796 . The biggest common factor number is the GCF number.
So the greatest common factor 174,269,796 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 77/174, 177/269, 291/796

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 77/174, 177/269, 291/796?

Answer: LCM of Numerators as per given numbers 77/174, 177/269, 291/796 is

LCM of Numerators i.e. for 77,177,291 is 1322013

GCF of denominators i.e. for 174,269,796 is 1.

Thus, LCM of Fractions is 1322013.Finally, LCM of Fractions for 77/174, 177/269, 291/796 is 1322013.