Least Common Multiple of 38/734, 944/894, 325/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/734, 944/894, 325/378 quickly i.e. 2914600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/734, 944/894, 325/378 is 2914600.

LCM(38/734, 944/894, 325/378) = 2914600

LCM of 38/734, 944/894, 325/378

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 38/734,944/894,325/378

Given numbers are 38/734,944/894,325/378

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 38,944,325

Least Common Multiple of Numerators i.e. LCM of 38,944,325 is 5829200.

GCF of Denominators means GCF of 734,894,378 as per the given fractions.

GCF of 734,894,378 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,944,325

LCM of Fractions 38/734,944/894,325/378 is 2914600

2 38, 944, 325
19, 472, 325

∴ So the LCM of the given numbers is 2 x 19 x 472 x 325 = 5829200

Least Common Multiple of 38,944,325 with GCF Formula

Least Common Multiple of 38,944,325 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 38,944,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,944,325) = 1

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

GCF(38,944,325) x common factors =1 x 2 = 2

LCM(38,944,325) = ( 38 × 944 × 325 ) / 2

LCM(38,944,325) = 11658400 / 2

LCM(38,944,325) = 5829200


Lets's calculate GCF of 734,894,378

2 734, 894, 378
367, 447, 189

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5829200/2

Therefore the LCM of Fractions 38/734,944/894,325/378 is 2914600

Greatest Common Factor of 734,894,378 By Matching Biggest Common Factor Method

Greatest Common Factor of 734,894,378 By Matching Biggest Common Factor Method

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

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 734,894,378 . The biggest common factor number is the GCF number.
So the greatest common factor 734,894,378 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 38/734, 944/894, 325/378

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 38/734, 944/894, 325/378?

Answer: LCM of Numerators as per given numbers 38/734, 944/894, 325/378 is

LCM of Numerators i.e. for 38,944,325 is 5829200

GCF of denominators i.e. for 734,894,378 is 2.

Thus, LCM of Fractions is 2914600.Finally, LCM of Fractions for 38/734, 944/894, 325/378 is 2914600.