Least Common Multiple of 731/46, 901/14, 561/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 731/46, 901/14, 561/169 quickly i.e. 1278519 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 731/46, 901/14, 561/169 is 1278519.

LCM(731/46, 901/14, 561/169) = 1278519

LCM of 731/46, 901/14, 561/169

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 731/46,901/14,561/169

Given numbers are 731/46,901/14,561/169

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 731,901,561

Least Common Multiple of Numerators i.e. LCM of 731,901,561 is 1278519.

GCF of Denominators means GCF of 46,14,169 as per the given fractions.

GCF of 46,14,169 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 731,901,561

LCM of Fractions 731/46,901/14,561/169 is 1278519

17 731, 901, 561
43, 53, 33

∴ So the LCM of the given numbers is 17 x 43 x 53 x 33 = 1278519

Least Common Multiple of 731,901,561 with GCF Formula

Least Common Multiple of 731,901,561 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 731,901,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(731,901,561) = 17

common factors(in case of two or more numbers have common factors) = 17

GCF(731,901,561) x common factors =17 x 17 = 289

LCM(731,901,561) = ( 731 × 901 × 561 ) / 289

LCM(731,901,561) = 369491991 / 289

LCM(731,901,561) = 1278519


Lets's calculate GCF of 46,14,169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1278519/1

Therefore the LCM of Fractions 731/46,901/14,561/169 is 1278519

Greatest Common Factor of 46,14,169 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,14,169 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 169

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

1,13,169

Greatest Common Factor

We found the factors 46,14,169 . The biggest common factor number is the GCF number.
So the greatest common factor 46,14,169 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 731/46, 901/14, 561/169

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 731/46, 901/14, 561/169?

Answer: LCM of Numerators as per given numbers 731/46, 901/14, 561/169 is

LCM of Numerators i.e. for 731,901,561 is 1278519

GCF of denominators i.e. for 46,14,169 is 1.

Thus, LCM of Fractions is 1278519.Finally, LCM of Fractions for 731/46, 901/14, 561/169 is 1278519.