Least Common Multiple of 7265/825, 7418/319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7265/825, 7418/319 quickly i.e. 53891770/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7265/825, 7418/319 is 53891770/11.

LCM(7265/825, 7418/319) = 53891770/11

LCM of 7265/825, 7418/319

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 7265/825,7418/319

Given numbers are 7265/825,7418/319

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 7265,7418

Least Common Multiple of Numerators i.e. LCM of 7265,7418 is 53891770.

GCF of Denominators means GCF of 825,319 as per the given fractions.

GCF of 825,319 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7265,7418

LCM of Fractions 7265/825,7418/319 is 53891770/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 53891770

Least Common Multiple of 7265,7418 with GCF Formula

Least Common Multiple of 7265,7418 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 7265,7418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7265,7418) = 1

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

GCF(7265,7418) x common factors =1 x 1 = 1

LCM(7265,7418) = ( 7265 × 7418 ) / 1

LCM(7265,7418) = 53891770 / 1

LCM(7265,7418) = 53891770


Lets's calculate GCF of 825,319

11 825, 319
75, 29

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53891770/11

Therefore the LCM of Fractions 7265/825,7418/319 is 53891770/11

Greatest Common Factor of 825,319 By Matching Biggest Common Factor Method

Greatest Common Factor of 825,319 By Matching Biggest Common Factor Method

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Greatest Common Factor

We found the factors 825,319 . The biggest common factor number is the GCF number.
So the greatest common factor 825,319 is 11.


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 7265/825, 7418/319

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 7265/825, 7418/319?

Answer: LCM of Numerators as per given numbers 7265/825, 7418/319 is

LCM of Numerators i.e. for 7265,7418 is 53891770

GCF of denominators i.e. for 825,319 is 11.

Thus, LCM of Fractions is 53891770/11.Finally, LCM of Fractions for 7265/825, 7418/319 is 53891770/11.