Least Common Multiple of 8535/969, 6525/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8535/969, 6525/726 quickly i.e. 1237575 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8535/969, 6525/726 is 1237575.

LCM(8535/969, 6525/726) = 1237575

LCM of 8535/969, 6525/726

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 8535/969,6525/726

Given numbers are 8535/969,6525/726

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 8535,6525

Least Common Multiple of Numerators i.e. LCM of 8535,6525 is 3712725.

GCF of Denominators means GCF of 969,726 as per the given fractions.

GCF of 969,726 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8535,6525

LCM of Fractions 8535/969,6525/726 is 1237575

3 8535, 6525
5 2845, 2175
569, 435

∴ So the LCM of the given numbers is 3 x 5 x 569 x 435 = 3712725

Least Common Multiple of 8535,6525 with GCF Formula

Least Common Multiple of 8535,6525 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 8535,6525 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8535,6525) = 15

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

GCF(8535,6525) x common factors =15 x 1 = 15

LCM(8535,6525) = ( 8535 × 6525 ) / 15

LCM(8535,6525) = 55690875 / 15

LCM(8535,6525) = 3712725


Lets's calculate GCF of 969,726

3 969, 726
323, 242

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3712725/3

Therefore the LCM of Fractions 8535/969,6525/726 is 1237575

Greatest Common Factor of 969,726 By Matching Biggest Common Factor Method

Greatest Common Factor of 969,726 By Matching Biggest Common Factor Method

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors 969,726 . The biggest common factor number is the GCF number.
So the greatest common factor 969,726 is 3.


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 8535/969, 6525/726

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 8535/969, 6525/726?

Answer: LCM of Numerators as per given numbers 8535/969, 6525/726 is

LCM of Numerators i.e. for 8535,6525 is 3712725

GCF of denominators i.e. for 969,726 is 3.

Thus, LCM of Fractions is 1237575.Finally, LCM of Fractions for 8535/969, 6525/726 is 1237575.