Least Common Multiple of 253/88, 781/5145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 253/88, 781/5145 quickly i.e. 17963 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 253/88, 781/5145 is 17963.

LCM(253/88, 781/5145) = 17963

LCM of 253/88, 781/5145

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 253/88,781/5145

Given numbers are 253/88,781/5145

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 253,781

Least Common Multiple of Numerators i.e. LCM of 253,781 is 17963.

GCF of Denominators means GCF of 88,5145 as per the given fractions.

GCF of 88,5145 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 253,781

LCM of Fractions 253/88,781/5145 is 17963

11 253, 781
23, 71

∴ So the LCM of the given numbers is 11 x 23 x 71 = 17963

Least Common Multiple of 253,781 with GCF Formula

Least Common Multiple of 253,781 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 253,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,781) = 11

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

GCF(253,781) x common factors =11 x 1 = 11

LCM(253,781) = ( 253 × 781 ) / 11

LCM(253,781) = 197593 / 11

LCM(253,781) = 17963


Lets's calculate GCF of 88,5145

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17963/1

Therefore the LCM of Fractions 253/88,781/5145 is 17963

Greatest Common Factor of 88,5145 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,5145 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 5145

List of positive integer factors of 5145 that divides 5145 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,343,735,1029,1715,5145

Greatest Common Factor

We found the factors 88,5145 . The biggest common factor number is the GCF number.
So the greatest common factor 88,5145 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 253/88, 781/5145

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 253/88, 781/5145?

Answer: LCM of Numerators as per given numbers 253/88, 781/5145 is

LCM of Numerators i.e. for 253,781 is 17963

GCF of denominators i.e. for 88,5145 is 1.

Thus, LCM of Fractions is 17963.Finally, LCM of Fractions for 253/88, 781/5145 is 17963.