Least Common Multiple of 35/867, 572/285, 525/135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/867, 572/285, 525/135 quickly i.e. 100100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/867, 572/285, 525/135 is 100100.

LCM(35/867, 572/285, 525/135) = 100100

LCM of 35/867, 572/285, 525/135

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 35/867,572/285,525/135

Given numbers are 35/867,572/285,525/135

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 35,572,525

Least Common Multiple of Numerators i.e. LCM of 35,572,525 is 300300.

GCF of Denominators means GCF of 867,285,135 as per the given fractions.

GCF of 867,285,135 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,572,525

LCM of Fractions 35/867,572/285,525/135 is 100100

5 35, 572, 525
7 7, 572, 105
1, 572, 15

∴ So the LCM of the given numbers is 5 x 7 x 1 x 572 x 15 = 300300

Least Common Multiple of 35,572,525 with GCF Formula

Least Common Multiple of 35,572,525 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 35,572,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,572,525) = 1

common factors(in case of two or more numbers have common factors) = 35

GCF(35,572,525) x common factors =1 x 35 = 35

LCM(35,572,525) = ( 35 × 572 × 525 ) / 35

LCM(35,572,525) = 10510500 / 35

LCM(35,572,525) = 300300


Lets's calculate GCF of 867,285,135

3 867, 285, 135
289, 95, 45

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 300300/3

Therefore the LCM of Fractions 35/867,572/285,525/135 is 100100

Greatest Common Factor of 867,285,135 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,285,135 By Matching Biggest Common Factor Method

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Greatest Common Factor

We found the factors 867,285,135 . The biggest common factor number is the GCF number.
So the greatest common factor 867,285,135 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 35/867, 572/285, 525/135

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 35/867, 572/285, 525/135?

Answer: LCM of Numerators as per given numbers 35/867, 572/285, 525/135 is

LCM of Numerators i.e. for 35,572,525 is 300300

GCF of denominators i.e. for 867,285,135 is 3.

Thus, LCM of Fractions is 100100.Finally, LCM of Fractions for 35/867, 572/285, 525/135 is 100100.