Least Common Multiple of 19/158, 394/26, 416/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/158, 394/26, 416/378 quickly i.e. 778544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/158, 394/26, 416/378 is 778544.

LCM(19/158, 394/26, 416/378) = 778544

LCM of 19/158, 394/26, 416/378

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 19/158,394/26,416/378

Given numbers are 19/158,394/26,416/378

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 19,394,416

Least Common Multiple of Numerators i.e. LCM of 19,394,416 is 1557088.

GCF of Denominators means GCF of 158,26,378 as per the given fractions.

GCF of 158,26,378 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,394,416

LCM of Fractions 19/158,394/26,416/378 is 778544

2 19, 394, 416
19, 197, 208

∴ So the LCM of the given numbers is 2 x 19 x 197 x 208 = 1557088

Least Common Multiple of 19,394,416 with GCF Formula

Least Common Multiple of 19,394,416 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 19,394,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,394,416) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(19,394,416) x common factors =1 x 2 = 2

LCM(19,394,416) = ( 19 × 394 × 416 ) / 2

LCM(19,394,416) = 3114176 / 2

LCM(19,394,416) = 1557088


Lets's calculate GCF of 158,26,378

2 158, 26, 378
79, 13, 189

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1557088/2

Therefore the LCM of Fractions 19/158,394/26,416/378 is 778544

Greatest Common Factor of 158,26,378 By Matching Biggest Common Factor Method

Greatest Common Factor of 158,26,378 By Matching Biggest Common Factor Method

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Greatest Common Factor

We found the factors 158,26,378 . The biggest common factor number is the GCF number.
So the greatest common factor 158,26,378 is 2.


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 19/158, 394/26, 416/378

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 19/158, 394/26, 416/378?

Answer: LCM of Numerators as per given numbers 19/158, 394/26, 416/378 is

LCM of Numerators i.e. for 19,394,416 is 1557088

GCF of denominators i.e. for 158,26,378 is 2.

Thus, LCM of Fractions is 778544.Finally, LCM of Fractions for 19/158, 394/26, 416/378 is 778544.