Least Common Multiple of 88/253, 87/368, 388/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 88/253, 87/368, 388/748 quickly i.e. 742632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/253, 87/368, 388/748 is 742632.

LCM(88/253, 87/368, 388/748) = 742632

LCM of 88/253, 87/368, 388/748

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 88/253,87/368,388/748

Given numbers are 88/253,87/368,388/748

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 88,87,388

Least Common Multiple of Numerators i.e. LCM of 88,87,388 is 742632.

GCF of Denominators means GCF of 253,368,748 as per the given fractions.

GCF of 253,368,748 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,87,388

LCM of Fractions 88/253,87/368,388/748 is 742632

2 88, 87, 388
2 44, 87, 194
22, 87, 97

∴ So the LCM of the given numbers is 2 x 2 x 22 x 87 x 97 = 742632

Least Common Multiple of 88,87,388 with GCF Formula

Least Common Multiple of 88,87,388 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 88,87,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,87,388) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(88,87,388) x common factors =1 x 4 = 4

LCM(88,87,388) = ( 88 × 87 × 388 ) / 4

LCM(88,87,388) = 2970528 / 4

LCM(88,87,388) = 742632


Lets's calculate GCF of 253,368,748

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 742632/1

Therefore the LCM of Fractions 88/253,87/368,388/748 is 742632

Greatest Common Factor of 253,368,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 253,368,748 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 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 253,368,748 . The biggest common factor number is the GCF number.
So the greatest common factor 253,368,748 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 88/253, 87/368, 388/748

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 88/253, 87/368, 388/748?

Answer: LCM of Numerators as per given numbers 88/253, 87/368, 388/748 is

LCM of Numerators i.e. for 88,87,388 is 742632

GCF of denominators i.e. for 253,368,748 is 1.

Thus, LCM of Fractions is 742632.Finally, LCM of Fractions for 88/253, 87/368, 388/748 is 742632.