Least Common Multiple of 4138/854, 3642/8894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4138/854, 3642/8894 quickly i.e. 3767649 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4138/854, 3642/8894 is 3767649.

LCM(4138/854, 3642/8894) = 3767649

LCM of 4138/854, 3642/8894

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 4138/854,3642/8894

Given numbers are 4138/854,3642/8894

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 4138,3642

Least Common Multiple of Numerators i.e. LCM of 4138,3642 is 7535298.

GCF of Denominators means GCF of 854,8894 as per the given fractions.

GCF of 854,8894 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4138,3642

LCM of Fractions 4138/854,3642/8894 is 3767649

2 4138, 3642
2069, 1821

∴ So the LCM of the given numbers is 2 x 2069 x 1821 = 7535298

Least Common Multiple of 4138,3642 with GCF Formula

Least Common Multiple of 4138,3642 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 4138,3642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4138,3642) = 2

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

GCF(4138,3642) x common factors =2 x 1 = 2

LCM(4138,3642) = ( 4138 × 3642 ) / 2

LCM(4138,3642) = 15070596 / 2

LCM(4138,3642) = 7535298


Lets's calculate GCF of 854,8894

2 854, 8894
427, 4447

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7535298/2

Therefore the LCM of Fractions 4138/854,3642/8894 is 3767649

Greatest Common Factor of 854,8894 By Matching Biggest Common Factor Method

Greatest Common Factor of 854,8894 By Matching Biggest Common Factor Method

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Factors of 8894

List of positive integer factors of 8894 that divides 8894 without a remainder.

1,2,4447,8894

Greatest Common Factor

We found the factors 854,8894 . The biggest common factor number is the GCF number.
So the greatest common factor 854,8894 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 4138/854, 3642/8894

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 4138/854, 3642/8894?

Answer: LCM of Numerators as per given numbers 4138/854, 3642/8894 is

LCM of Numerators i.e. for 4138,3642 is 7535298

GCF of denominators i.e. for 854,8894 is 2.

Thus, LCM of Fractions is 3767649.Finally, LCM of Fractions for 4138/854, 3642/8894 is 3767649.