Least Common Multiple of 989/22, 514/55, 748/993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 989/22, 514/55, 748/993 quickly i.e. 190121404 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 989/22, 514/55, 748/993 is 190121404.

LCM(989/22, 514/55, 748/993) = 190121404

LCM of 989/22, 514/55, 748/993

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 989/22,514/55,748/993

Given numbers are 989/22,514/55,748/993

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 989,514,748

Least Common Multiple of Numerators i.e. LCM of 989,514,748 is 190121404.

GCF of Denominators means GCF of 22,55,993 as per the given fractions.

GCF of 22,55,993 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 989,514,748

LCM of Fractions 989/22,514/55,748/993 is 190121404

2 989, 514, 748
989, 257, 374

∴ So the LCM of the given numbers is 2 x 989 x 257 x 374 = 190121404

Least Common Multiple of 989,514,748 with GCF Formula

Least Common Multiple of 989,514,748 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 989,514,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(989,514,748) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(989,514,748) x common factors =1 x 2 = 2

LCM(989,514,748) = ( 989 × 514 × 748 ) / 2

LCM(989,514,748) = 380242808 / 2

LCM(989,514,748) = 190121404


Lets's calculate GCF of 22,55,993

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 190121404/1

Therefore the LCM of Fractions 989/22,514/55,748/993 is 190121404

Greatest Common Factor of 22,55,993 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,55,993 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Greatest Common Factor

We found the factors 22,55,993 . The biggest common factor number is the GCF number.
So the greatest common factor 22,55,993 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 989/22, 514/55, 748/993

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 989/22, 514/55, 748/993?

Answer: LCM of Numerators as per given numbers 989/22, 514/55, 748/993 is

LCM of Numerators i.e. for 989,514,748 is 190121404

GCF of denominators i.e. for 22,55,993 is 1.

Thus, LCM of Fractions is 190121404.Finally, LCM of Fractions for 989/22, 514/55, 748/993 is 190121404.