Least Common Multiple of 461/797, 725/706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 461/797, 725/706 quickly i.e. 334225 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 461/797, 725/706 is 334225.

LCM(461/797, 725/706) = 334225

LCM of 461/797, 725/706

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 461/797,725/706

Given numbers are 461/797,725/706

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 461,725

Least Common Multiple of Numerators i.e. LCM of 461,725 is 334225.

GCF of Denominators means GCF of 797,706 as per the given fractions.

GCF of 797,706 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 461,725

LCM of Fractions 461/797,725/706 is 334225

Given numbers has no common factors except 1. So, there LCM is their product i.e 334225

Least Common Multiple of 461,725 with GCF Formula

Least Common Multiple of 461,725 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 461,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(461,725) = 1

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

GCF(461,725) x common factors =1 x 1 = 1

LCM(461,725) = ( 461 × 725 ) / 1

LCM(461,725) = 334225 / 1

LCM(461,725) = 334225


Lets's calculate GCF of 797,706

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 334225/1

Therefore the LCM of Fractions 461/797,725/706 is 334225

Greatest Common Factor of 797,706 By Matching Biggest Common Factor Method

Greatest Common Factor of 797,706 By Matching Biggest Common Factor Method

Factors of 797

List of positive integer factors of 797 that divides 797 without a remainder.

1,797

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Greatest Common Factor

We found the factors 797,706 . The biggest common factor number is the GCF number.
So the greatest common factor 797,706 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 461/797, 725/706

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 461/797, 725/706?

Answer: LCM of Numerators as per given numbers 461/797, 725/706 is

LCM of Numerators i.e. for 461,725 is 334225

GCF of denominators i.e. for 797,706 is 1.

Thus, LCM of Fractions is 334225.Finally, LCM of Fractions for 461/797, 725/706 is 334225.