Least Common Multiple of 19/61, 113/16, 898/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/61, 113/16, 898/432 quickly i.e. 1928006 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/61, 113/16, 898/432 is 1928006.

LCM(19/61, 113/16, 898/432) = 1928006

LCM of 19/61, 113/16, 898/432

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 19/61,113/16,898/432

Given numbers are 19/61,113/16,898/432

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 19,113,898

Least Common Multiple of Numerators i.e. LCM of 19,113,898 is 1928006.

GCF of Denominators means GCF of 61,16,432 as per the given fractions.

GCF of 61,16,432 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,113,898

LCM of Fractions 19/61,113/16,898/432 is 1928006

Given numbers has no common factors except 1. So, there LCM is their product i.e 1928006

Least Common Multiple of 19,113,898 with GCF Formula

Least Common Multiple of 19,113,898 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 19,113,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,113,898) = 1

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

GCF(19,113,898) x common factors =1 x 1 = 1

LCM(19,113,898) = ( 19 × 113 × 898 ) / 1

LCM(19,113,898) = 1928006 / 1

LCM(19,113,898) = 1928006


Lets's calculate GCF of 61,16,432

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1928006/1

Therefore the LCM of Fractions 19/61,113/16,898/432 is 1928006

Greatest Common Factor of 61,16,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,16,432 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 61,16,432 . The biggest common factor number is the GCF number.
So the greatest common factor 61,16,432 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 19/61, 113/16, 898/432

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 19/61, 113/16, 898/432?

Answer: LCM of Numerators as per given numbers 19/61, 113/16, 898/432 is

LCM of Numerators i.e. for 19,113,898 is 1928006

GCF of denominators i.e. for 61,16,432 is 1.

Thus, LCM of Fractions is 1928006.Finally, LCM of Fractions for 19/61, 113/16, 898/432 is 1928006.