Least Common Multiple of 682/526, 7225/9508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 682/526, 7225/9508 quickly i.e. 2463725 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 682/526, 7225/9508 is 2463725.

LCM(682/526, 7225/9508) = 2463725

LCM of 682/526, 7225/9508

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 682/526,7225/9508

Given numbers are 682/526,7225/9508

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 682,7225

Least Common Multiple of Numerators i.e. LCM of 682,7225 is 4927450.

GCF of Denominators means GCF of 526,9508 as per the given fractions.

GCF of 526,9508 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 682,7225

LCM of Fractions 682/526,7225/9508 is 2463725

Given numbers has no common factors except 1. So, there LCM is their product i.e 4927450

Least Common Multiple of 682,7225 with GCF Formula

Least Common Multiple of 682,7225 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 682,7225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(682,7225) = 1

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

GCF(682,7225) x common factors =1 x 1 = 1

LCM(682,7225) = ( 682 × 7225 ) / 1

LCM(682,7225) = 4927450 / 1

LCM(682,7225) = 4927450


Lets's calculate GCF of 526,9508

2 526, 9508
263, 4754

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4927450/2

Therefore the LCM of Fractions 682/526,7225/9508 is 2463725

Greatest Common Factor of 526,9508 By Matching Biggest Common Factor Method

Greatest Common Factor of 526,9508 By Matching Biggest Common Factor Method

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Factors of 9508

List of positive integer factors of 9508 that divides 9508 without a remainder.

1,2,4,2377,4754,9508

Greatest Common Factor

We found the factors 526,9508 . The biggest common factor number is the GCF number.
So the greatest common factor 526,9508 is 2.


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 682/526, 7225/9508

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 682/526, 7225/9508?

Answer: LCM of Numerators as per given numbers 682/526, 7225/9508 is

LCM of Numerators i.e. for 682,7225 is 4927450

GCF of denominators i.e. for 526,9508 is 2.

Thus, LCM of Fractions is 2463725.Finally, LCM of Fractions for 682/526, 7225/9508 is 2463725.