Least Common Multiple of 56/169, 691/901, 394/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/169, 691/901, 394/512 quickly i.e. 7623112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/169, 691/901, 394/512 is 7623112.

LCM(56/169, 691/901, 394/512) = 7623112

LCM of 56/169, 691/901, 394/512

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 56/169,691/901,394/512

Given numbers are 56/169,691/901,394/512

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 56,691,394

Least Common Multiple of Numerators i.e. LCM of 56,691,394 is 7623112.

GCF of Denominators means GCF of 169,901,512 as per the given fractions.

GCF of 169,901,512 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,691,394

LCM of Fractions 56/169,691/901,394/512 is 7623112

2 56, 691, 394
28, 691, 197

∴ So the LCM of the given numbers is 2 x 28 x 691 x 197 = 7623112

Least Common Multiple of 56,691,394 with GCF Formula

Least Common Multiple of 56,691,394 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 56,691,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,691,394) = 1

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

GCF(56,691,394) x common factors =1 x 2 = 2

LCM(56,691,394) = ( 56 × 691 × 394 ) / 2

LCM(56,691,394) = 15246224 / 2

LCM(56,691,394) = 7623112


Lets's calculate GCF of 169,901,512

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7623112/1

Therefore the LCM of Fractions 56/169,691/901,394/512 is 7623112

Greatest Common Factor of 169,901,512 By Matching Biggest Common Factor Method

Greatest Common Factor of 169,901,512 By Matching Biggest Common Factor Method

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Greatest Common Factor

We found the factors 169,901,512 . The biggest common factor number is the GCF number.
So the greatest common factor 169,901,512 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 56/169, 691/901, 394/512

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 56/169, 691/901, 394/512?

Answer: LCM of Numerators as per given numbers 56/169, 691/901, 394/512 is

LCM of Numerators i.e. for 56,691,394 is 7623112

GCF of denominators i.e. for 169,901,512 is 1.

Thus, LCM of Fractions is 7623112.Finally, LCM of Fractions for 56/169, 691/901, 394/512 is 7623112.