Least Common Multiple of 251/88, 537/13, 805/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 251/88, 537/13, 805/735 quickly i.e. 108503535 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 251/88, 537/13, 805/735 is 108503535.

LCM(251/88, 537/13, 805/735) = 108503535

LCM of 251/88, 537/13, 805/735

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 251/88,537/13,805/735

Given numbers are 251/88,537/13,805/735

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 251,537,805

Least Common Multiple of Numerators i.e. LCM of 251,537,805 is 108503535.

GCF of Denominators means GCF of 88,13,735 as per the given fractions.

GCF of 88,13,735 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 251,537,805

LCM of Fractions 251/88,537/13,805/735 is 108503535

Given numbers has no common factors except 1. So, there LCM is their product i.e 108503535

Least Common Multiple of 251,537,805 with GCF Formula

Least Common Multiple of 251,537,805 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 251,537,805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(251,537,805) = 1

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

GCF(251,537,805) x common factors =1 x 1 = 1

LCM(251,537,805) = ( 251 × 537 × 805 ) / 1

LCM(251,537,805) = 108503535 / 1

LCM(251,537,805) = 108503535


Lets's calculate GCF of 88,13,735

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108503535/1

Therefore the LCM of Fractions 251/88,537/13,805/735 is 108503535

Greatest Common Factor of 88,13,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,13,735 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 88,13,735 . The biggest common factor number is the GCF number.
So the greatest common factor 88,13,735 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 251/88, 537/13, 805/735

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 251/88, 537/13, 805/735?

Answer: LCM of Numerators as per given numbers 251/88, 537/13, 805/735 is

LCM of Numerators i.e. for 251,537,805 is 108503535

GCF of denominators i.e. for 88,13,735 is 1.

Thus, LCM of Fractions is 108503535.Finally, LCM of Fractions for 251/88, 537/13, 805/735 is 108503535.