Least Common Multiple of 28/238, 49/888, 567/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/238, 49/888, 567/988 quickly i.e. 7938 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/238, 49/888, 567/988 is 7938.

LCM(28/238, 49/888, 567/988) = 7938

LCM of 28/238, 49/888, 567/988

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 28/238,49/888,567/988

Given numbers are 28/238,49/888,567/988

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 28,49,567

Least Common Multiple of Numerators i.e. LCM of 28,49,567 is 15876.

GCF of Denominators means GCF of 238,888,988 as per the given fractions.

GCF of 238,888,988 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,49,567

LCM of Fractions 28/238,49/888,567/988 is 7938

7 28, 49, 567
4, 7, 81

∴ So the LCM of the given numbers is 7 x 4 x 7 x 81 = 15876

Least Common Multiple of 28,49,567 with GCF Formula

Least Common Multiple of 28,49,567 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 28,49,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,49,567) = 7

common factors(in case of two or more numbers have common factors) = 7

GCF(28,49,567) x common factors =7 x 7 = 49

LCM(28,49,567) = ( 28 × 49 × 567 ) / 49

LCM(28,49,567) = 777924 / 49

LCM(28,49,567) = 15876


Lets's calculate GCF of 238,888,988

2 238, 888, 988
119, 444, 494

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15876/2

Therefore the LCM of Fractions 28/238,49/888,567/988 is 7938

Greatest Common Factor of 238,888,988 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,888,988 By Matching Biggest Common Factor Method

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Greatest Common Factor

We found the factors 238,888,988 . The biggest common factor number is the GCF number.
So the greatest common factor 238,888,988 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 28/238, 49/888, 567/988

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 28/238, 49/888, 567/988?

Answer: LCM of Numerators as per given numbers 28/238, 49/888, 567/988 is

LCM of Numerators i.e. for 28,49,567 is 15876

GCF of denominators i.e. for 238,888,988 is 2.

Thus, LCM of Fractions is 7938.Finally, LCM of Fractions for 28/238, 49/888, 567/988 is 7938.