Least Common Multiple of 19/653, 38/938, 432/125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/653, 38/938, 432/125 quickly i.e. 8208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/653, 38/938, 432/125 is 8208.

LCM(19/653, 38/938, 432/125) = 8208

LCM of 19/653, 38/938, 432/125

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 19/653,38/938,432/125

Given numbers are 19/653,38/938,432/125

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 19,38,432

Least Common Multiple of Numerators i.e. LCM of 19,38,432 is 8208.

GCF of Denominators means GCF of 653,938,125 as per the given fractions.

GCF of 653,938,125 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,38,432

LCM of Fractions 19/653,38/938,432/125 is 8208

2 19, 38, 432
19 19, 19, 216
1, 1, 216

∴ So the LCM of the given numbers is 2 x 19 x 1 x 1 x 216 = 8208

Least Common Multiple of 19,38,432 with GCF Formula

Least Common Multiple of 19,38,432 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 19,38,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,38,432) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(19,38,432) x common factors =1 x 38 = 38

LCM(19,38,432) = ( 19 × 38 × 432 ) / 38

LCM(19,38,432) = 311904 / 38

LCM(19,38,432) = 8208


Lets's calculate GCF of 653,938,125

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8208/1

Therefore the LCM of Fractions 19/653,38/938,432/125 is 8208

Greatest Common Factor of 653,938,125 By Matching Biggest Common Factor Method

Greatest Common Factor of 653,938,125 By Matching Biggest Common Factor Method

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Greatest Common Factor

We found the factors 653,938,125 . The biggest common factor number is the GCF number.
So the greatest common factor 653,938,125 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 19/653, 38/938, 432/125

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 19/653, 38/938, 432/125?

Answer: LCM of Numerators as per given numbers 19/653, 38/938, 432/125 is

LCM of Numerators i.e. for 19,38,432 is 8208

GCF of denominators i.e. for 653,938,125 is 1.

Thus, LCM of Fractions is 8208.Finally, LCM of Fractions for 19/653, 38/938, 432/125 is 8208.