Least Common Multiple of 2398/987, 1770/188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2398/987, 1770/188 quickly i.e. 2122230/47 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2398/987, 1770/188 is 2122230/47.

LCM(2398/987, 1770/188) = 2122230/47

LCM of 2398/987, 1770/188

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 2398/987,1770/188

Given numbers are 2398/987,1770/188

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 2398,1770

Least Common Multiple of Numerators i.e. LCM of 2398,1770 is 2122230.

GCF of Denominators means GCF of 987,188 as per the given fractions.

GCF of 987,188 is 47 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2398,1770

LCM of Fractions 2398/987,1770/188 is 2122230/47

2 2398, 1770
1199, 885

∴ So the LCM of the given numbers is 2 x 1199 x 885 = 2122230

Least Common Multiple of 2398,1770 with GCF Formula

Least Common Multiple of 2398,1770 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 2398,1770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2398,1770) = 2

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

GCF(2398,1770) x common factors =2 x 1 = 2

LCM(2398,1770) = ( 2398 × 1770 ) / 2

LCM(2398,1770) = 4244460 / 2

LCM(2398,1770) = 2122230


Lets's calculate GCF of 987,188

47 987, 188
21, 4

∴ So the GCF of the given numbers is 47 = 47

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2122230/47

Therefore the LCM of Fractions 2398/987,1770/188 is 2122230/47

Greatest Common Factor of 987,188 By Matching Biggest Common Factor Method

Greatest Common Factor of 987,188 By Matching Biggest Common Factor Method

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Greatest Common Factor

We found the factors 987,188 . The biggest common factor number is the GCF number.
So the greatest common factor 987,188 is 47.


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 2398/987, 1770/188

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 2398/987, 1770/188?

Answer: LCM of Numerators as per given numbers 2398/987, 1770/188 is

LCM of Numerators i.e. for 2398,1770 is 2122230

GCF of denominators i.e. for 987,188 is 47.

Thus, LCM of Fractions is 2122230/47.Finally, LCM of Fractions for 2398/987, 1770/188 is 2122230/47.