Least Common Multiple of 705/116, 2901/261

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 705/116, 2901/261 quickly i.e. 681735/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 705/116, 2901/261 is 681735/29.

LCM(705/116, 2901/261) = 681735/29

LCM of 705/116, 2901/261

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 705/116,2901/261

Given numbers are 705/116,2901/261

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 705,2901

Least Common Multiple of Numerators i.e. LCM of 705,2901 is 681735.

GCF of Denominators means GCF of 116,261 as per the given fractions.

GCF of 116,261 is 29 as it is the largest common factor for these numbers.

Lets's calculate LCM of 705,2901

LCM of Fractions 705/116,2901/261 is 681735/29

3 705, 2901
235, 967

∴ So the LCM of the given numbers is 3 x 235 x 967 = 681735

Least Common Multiple of 705,2901 with GCF Formula

Least Common Multiple of 705,2901 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 705,2901 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,2901) = 3

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

GCF(705,2901) x common factors =3 x 1 = 3

LCM(705,2901) = ( 705 × 2901 ) / 3

LCM(705,2901) = 2045205 / 3

LCM(705,2901) = 681735


Lets's calculate GCF of 116,261

29 116, 261
4, 9

∴ So the GCF of the given numbers is 29 = 29

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 681735/29

Therefore the LCM of Fractions 705/116,2901/261 is 681735/29

Greatest Common Factor of 116,261 By Matching Biggest Common Factor Method

Greatest Common Factor of 116,261 By Matching Biggest Common Factor Method

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Greatest Common Factor

We found the factors 116,261 . The biggest common factor number is the GCF number.
So the greatest common factor 116,261 is 29.


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 705/116, 2901/261

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 705/116, 2901/261?

Answer: LCM of Numerators as per given numbers 705/116, 2901/261 is

LCM of Numerators i.e. for 705,2901 is 681735

GCF of denominators i.e. for 116,261 is 29.

Thus, LCM of Fractions is 681735/29.Finally, LCM of Fractions for 705/116, 2901/261 is 681735/29.