Least Common Multiple of 426/19, 150/39, 925/392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 426/19, 150/39, 925/392 quickly i.e. 394050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 426/19, 150/39, 925/392 is 394050.

LCM(426/19, 150/39, 925/392) = 394050

LCM of 426/19, 150/39, 925/392

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 426/19,150/39,925/392

Given numbers are 426/19,150/39,925/392

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 426,150,925

Least Common Multiple of Numerators i.e. LCM of 426,150,925 is 394050.

GCF of Denominators means GCF of 19,39,392 as per the given fractions.

GCF of 19,39,392 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 426,150,925

LCM of Fractions 426/19,150/39,925/392 is 394050

2 426, 150, 925
3 213, 75, 925
5 71, 25, 925
5 71, 5, 185
71, 1, 37

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 71 x 1 x 37 = 394050

Least Common Multiple of 426,150,925 with GCF Formula

Least Common Multiple of 426,150,925 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 426,150,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(426,150,925) = 1

common factors(in case of two or more numbers have common factors) = 150

GCF(426,150,925) x common factors =1 x 150 = 150

LCM(426,150,925) = ( 426 × 150 × 925 ) / 150

LCM(426,150,925) = 59107500 / 150

LCM(426,150,925) = 394050


Lets's calculate GCF of 19,39,392

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 394050/1

Therefore the LCM of Fractions 426/19,150/39,925/392 is 394050

Greatest Common Factor of 19,39,392 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,39,392 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 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Greatest Common Factor

We found the factors 19,39,392 . The biggest common factor number is the GCF number.
So the greatest common factor 19,39,392 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 426/19, 150/39, 925/392

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 426/19, 150/39, 925/392?

Answer: LCM of Numerators as per given numbers 426/19, 150/39, 925/392 is

LCM of Numerators i.e. for 426,150,925 is 394050

GCF of denominators i.e. for 19,39,392 is 1.

Thus, LCM of Fractions is 394050.Finally, LCM of Fractions for 426/19, 150/39, 925/392 is 394050.