Least Common Multiple of 265/898, 525/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 265/898, 525/728 quickly i.e. 27825/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 265/898, 525/728 is 27825/2.

LCM(265/898, 525/728) = 27825/2

LCM of 265/898, 525/728

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 265/898,525/728

Given numbers are 265/898,525/728

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 265,525

Least Common Multiple of Numerators i.e. LCM of 265,525 is 27825.

GCF of Denominators means GCF of 898,728 as per the given fractions.

GCF of 898,728 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 265,525

LCM of Fractions 265/898,525/728 is 27825/2

5 265, 525
53, 105

∴ So the LCM of the given numbers is 5 x 53 x 105 = 27825

Least Common Multiple of 265,525 with GCF Formula

Least Common Multiple of 265,525 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 265,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(265,525) = 5

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

GCF(265,525) x common factors =5 x 1 = 5

LCM(265,525) = ( 265 × 525 ) / 5

LCM(265,525) = 139125 / 5

LCM(265,525) = 27825


Lets's calculate GCF of 898,728

2 898, 728
449, 364

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27825/2

Therefore the LCM of Fractions 265/898,525/728 is 27825/2

Greatest Common Factor of 898,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 898,728 By Matching Biggest Common Factor Method

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 898,728 . The biggest common factor number is the GCF number.
So the greatest common factor 898,728 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 265/898, 525/728

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 265/898, 525/728?

Answer: LCM of Numerators as per given numbers 265/898, 525/728 is

LCM of Numerators i.e. for 265,525 is 27825

GCF of denominators i.e. for 898,728 is 2.

Thus, LCM of Fractions is 27825/2.Finally, LCM of Fractions for 265/898, 525/728 is 27825/2.