Least Common Multiple of 988/19, 728/97, 137/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 988/19, 728/97, 137/742 quickly i.e. 1894984 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 988/19, 728/97, 137/742 is 1894984.

LCM(988/19, 728/97, 137/742) = 1894984

LCM of 988/19, 728/97, 137/742

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 988/19,728/97,137/742

Given numbers are 988/19,728/97,137/742

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 988,728,137

Least Common Multiple of Numerators i.e. LCM of 988,728,137 is 1894984.

GCF of Denominators means GCF of 19,97,742 as per the given fractions.

GCF of 19,97,742 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 988,728,137

LCM of Fractions 988/19,728/97,137/742 is 1894984

2 988, 728, 137
2 494, 364, 137
13 247, 182, 137
19, 14, 137

∴ So the LCM of the given numbers is 2 x 2 x 13 x 19 x 14 x 137 = 1894984

Least Common Multiple of 988,728,137 with GCF Formula

Least Common Multiple of 988,728,137 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 988,728,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(988,728,137) = 1

common factors(in case of two or more numbers have common factors) = 52

GCF(988,728,137) x common factors =1 x 52 = 52

LCM(988,728,137) = ( 988 × 728 × 137 ) / 52

LCM(988,728,137) = 98539168 / 52

LCM(988,728,137) = 1894984


Lets's calculate GCF of 19,97,742

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1894984/1

Therefore the LCM of Fractions 988/19,728/97,137/742 is 1894984

Greatest Common Factor of 19,97,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,97,742 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 19,97,742 . The biggest common factor number is the GCF number.
So the greatest common factor 19,97,742 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 988/19, 728/97, 137/742

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 988/19, 728/97, 137/742?

Answer: LCM of Numerators as per given numbers 988/19, 728/97, 137/742 is

LCM of Numerators i.e. for 988,728,137 is 1894984

GCF of denominators i.e. for 19,97,742 is 1.

Thus, LCM of Fractions is 1894984.Finally, LCM of Fractions for 988/19, 728/97, 137/742 is 1894984.