Least Common Multiple of 725/286, 3460/9357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 725/286, 3460/9357 quickly i.e. 501700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 725/286, 3460/9357 is 501700.

LCM(725/286, 3460/9357) = 501700

LCM of 725/286, 3460/9357

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 725/286,3460/9357

Given numbers are 725/286,3460/9357

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 725,3460

Least Common Multiple of Numerators i.e. LCM of 725,3460 is 501700.

GCF of Denominators means GCF of 286,9357 as per the given fractions.

GCF of 286,9357 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 725,3460

LCM of Fractions 725/286,3460/9357 is 501700

5 725, 3460
145, 692

∴ So the LCM of the given numbers is 5 x 145 x 692 = 501700

Least Common Multiple of 725,3460 with GCF Formula

Least Common Multiple of 725,3460 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 725,3460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(725,3460) = 5

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

GCF(725,3460) x common factors =5 x 1 = 5

LCM(725,3460) = ( 725 × 3460 ) / 5

LCM(725,3460) = 2508500 / 5

LCM(725,3460) = 501700


Lets's calculate GCF of 286,9357

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 501700/1

Therefore the LCM of Fractions 725/286,3460/9357 is 501700

Greatest Common Factor of 286,9357 By Matching Biggest Common Factor Method

Greatest Common Factor of 286,9357 By Matching Biggest Common Factor Method

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 9357

List of positive integer factors of 9357 that divides 9357 without a remainder.

1,3,3119,9357

Greatest Common Factor

We found the factors 286,9357 . The biggest common factor number is the GCF number.
So the greatest common factor 286,9357 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 725/286, 3460/9357

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 725/286, 3460/9357?

Answer: LCM of Numerators as per given numbers 725/286, 3460/9357 is

LCM of Numerators i.e. for 725,3460 is 501700

GCF of denominators i.e. for 286,9357 is 1.

Thus, LCM of Fractions is 501700.Finally, LCM of Fractions for 725/286, 3460/9357 is 501700.