Least Common Multiple of 843/74, 378/388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 843/74, 378/388 quickly i.e. 53109 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 843/74, 378/388 is 53109.

LCM(843/74, 378/388) = 53109

LCM of 843/74, 378/388

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 843/74,378/388

Given numbers are 843/74,378/388

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 843,378

Least Common Multiple of Numerators i.e. LCM of 843,378 is 106218.

GCF of Denominators means GCF of 74,388 as per the given fractions.

GCF of 74,388 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 843,378

LCM of Fractions 843/74,378/388 is 53109

3 843, 378
281, 126

∴ So the LCM of the given numbers is 3 x 281 x 126 = 106218

Least Common Multiple of 843,378 with GCF Formula

Least Common Multiple of 843,378 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 843,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(843,378) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(843,378) x common factors =3 x 1 = 3

LCM(843,378) = ( 843 × 378 ) / 3

LCM(843,378) = 318654 / 3

LCM(843,378) = 106218


Lets's calculate GCF of 74,388

2 74, 388
37, 194

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106218/2

Therefore the LCM of Fractions 843/74,378/388 is 53109

Greatest Common Factor of 74,388 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,388 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Greatest Common Factor

We found the factors 74,388 . The biggest common factor number is the GCF number.
So the greatest common factor 74,388 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 843/74, 378/388

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 843/74, 378/388?

Answer: LCM of Numerators as per given numbers 843/74, 378/388 is

LCM of Numerators i.e. for 843,378 is 106218

GCF of denominators i.e. for 74,388 is 2.

Thus, LCM of Fractions is 53109.Finally, LCM of Fractions for 843/74, 378/388 is 53109.