Least Common Multiple of 188/972, 2788/9238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 188/972, 2788/9238 quickly i.e. 65518 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 188/972, 2788/9238 is 65518.

LCM(188/972, 2788/9238) = 65518

LCM of 188/972, 2788/9238

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 188/972,2788/9238

Given numbers are 188/972,2788/9238

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 188,2788

Least Common Multiple of Numerators i.e. LCM of 188,2788 is 131036.

GCF of Denominators means GCF of 972,9238 as per the given fractions.

GCF of 972,9238 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 188,2788

LCM of Fractions 188/972,2788/9238 is 65518

2 188, 2788
2 94, 1394
47, 697

∴ So the LCM of the given numbers is 2 x 2 x 47 x 697 = 131036

Least Common Multiple of 188,2788 with GCF Formula

Least Common Multiple of 188,2788 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 188,2788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(188,2788) = 4

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

GCF(188,2788) x common factors =4 x 1 = 4

LCM(188,2788) = ( 188 × 2788 ) / 4

LCM(188,2788) = 524144 / 4

LCM(188,2788) = 131036


Lets's calculate GCF of 972,9238

2 972, 9238
486, 4619

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131036/2

Therefore the LCM of Fractions 188/972,2788/9238 is 65518

Greatest Common Factor of 972,9238 By Matching Biggest Common Factor Method

Greatest Common Factor of 972,9238 By Matching Biggest Common Factor Method

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Factors of 9238

List of positive integer factors of 9238 that divides 9238 without a remainder.

1,2,31,62,149,298,4619,9238

Greatest Common Factor

We found the factors 972,9238 . The biggest common factor number is the GCF number.
So the greatest common factor 972,9238 is 2.


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 188/972, 2788/9238

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 188/972, 2788/9238?

Answer: LCM of Numerators as per given numbers 188/972, 2788/9238 is

LCM of Numerators i.e. for 188,2788 is 131036

GCF of denominators i.e. for 972,9238 is 2.

Thus, LCM of Fractions is 65518.Finally, LCM of Fractions for 188/972, 2788/9238 is 65518.