Least Common Multiple of 352/25, 895/50, 424/19

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 352/25, 895/50, 424/19 quickly i.e. 16697120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 352/25, 895/50, 424/19 is 16697120.

LCM(352/25, 895/50, 424/19) = 16697120

LCM of 352/25, 895/50, 424/19

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 352/25,895/50,424/19

Given numbers are 352/25,895/50,424/19

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 352,895,424

Least Common Multiple of Numerators i.e. LCM of 352,895,424 is 16697120.

GCF of Denominators means GCF of 25,50,19 as per the given fractions.

GCF of 25,50,19 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 352,895,424

LCM of Fractions 352/25,895/50,424/19 is 16697120

2 352, 895, 424
2 176, 895, 212
2 88, 895, 106
44, 895, 53

∴ So the LCM of the given numbers is 2 x 2 x 2 x 44 x 895 x 53 = 16697120

Least Common Multiple of 352,895,424 with GCF Formula

Least Common Multiple of 352,895,424 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 352,895,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(352,895,424) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(352,895,424) x common factors =1 x 8 = 8

LCM(352,895,424) = ( 352 × 895 × 424 ) / 8

LCM(352,895,424) = 133576960 / 8

LCM(352,895,424) = 16697120


Lets's calculate GCF of 25,50,19

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16697120/1

Therefore the LCM of Fractions 352/25,895/50,424/19 is 16697120

Greatest Common Factor of 25,50,19 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,50,19 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 19

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

1,19

Greatest Common Factor

We found the factors 25,50,19 . The biggest common factor number is the GCF number.
So the greatest common factor 25,50,19 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 352/25, 895/50, 424/19

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 352/25, 895/50, 424/19?

Answer: LCM of Numerators as per given numbers 352/25, 895/50, 424/19 is

LCM of Numerators i.e. for 352,895,424 is 16697120

GCF of denominators i.e. for 25,50,19 is 1.

Thus, LCM of Fractions is 16697120.Finally, LCM of Fractions for 352/25, 895/50, 424/19 is 16697120.