Least Common Multiple of 85/253, 15/149, 715/563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/253, 15/149, 715/563 quickly i.e. 36465 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/253, 15/149, 715/563 is 36465.

LCM(85/253, 15/149, 715/563) = 36465

LCM of 85/253, 15/149, 715/563

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 85/253,15/149,715/563

Given numbers are 85/253,15/149,715/563

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 85,15,715

Least Common Multiple of Numerators i.e. LCM of 85,15,715 is 36465.

GCF of Denominators means GCF of 253,149,563 as per the given fractions.

GCF of 253,149,563 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,15,715

LCM of Fractions 85/253,15/149,715/563 is 36465

5 85, 15, 715
17, 3, 143

∴ So the LCM of the given numbers is 5 x 17 x 3 x 143 = 36465

Least Common Multiple of 85,15,715 with GCF Formula

Least Common Multiple of 85,15,715 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 85,15,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,15,715) = 5

common factors(in case of two or more numbers have common factors) = 5

GCF(85,15,715) x common factors =5 x 5 = 25

LCM(85,15,715) = ( 85 × 15 × 715 ) / 25

LCM(85,15,715) = 911625 / 25

LCM(85,15,715) = 36465


Lets's calculate GCF of 253,149,563

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36465/1

Therefore the LCM of Fractions 85/253,15/149,715/563 is 36465

Greatest Common Factor of 253,149,563 By Matching Biggest Common Factor Method

Greatest Common Factor of 253,149,563 By Matching Biggest Common Factor Method

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Greatest Common Factor

We found the factors 253,149,563 . The biggest common factor number is the GCF number.
So the greatest common factor 253,149,563 is 1.


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 85/253, 15/149, 715/563

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 85/253, 15/149, 715/563?

Answer: LCM of Numerators as per given numbers 85/253, 15/149, 715/563 is

LCM of Numerators i.e. for 85,15,715 is 36465

GCF of denominators i.e. for 253,149,563 is 1.

Thus, LCM of Fractions is 36465.Finally, LCM of Fractions for 85/253, 15/149, 715/563 is 36465.