Least Common Multiple of 4692/468, 2638/8438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4692/468, 2638/8438 quickly i.e. 3094374 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4692/468, 2638/8438 is 3094374.

LCM(4692/468, 2638/8438) = 3094374

LCM of 4692/468, 2638/8438

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 4692/468,2638/8438

Given numbers are 4692/468,2638/8438

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 4692,2638

Least Common Multiple of Numerators i.e. LCM of 4692,2638 is 6188748.

GCF of Denominators means GCF of 468,8438 as per the given fractions.

GCF of 468,8438 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4692,2638

LCM of Fractions 4692/468,2638/8438 is 3094374

2 4692, 2638
2346, 1319

∴ So the LCM of the given numbers is 2 x 2346 x 1319 = 6188748

Least Common Multiple of 4692,2638 with GCF Formula

Least Common Multiple of 4692,2638 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 4692,2638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4692,2638) = 2

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

GCF(4692,2638) x common factors =2 x 1 = 2

LCM(4692,2638) = ( 4692 × 2638 ) / 2

LCM(4692,2638) = 12377496 / 2

LCM(4692,2638) = 6188748


Lets's calculate GCF of 468,8438

2 468, 8438
234, 4219

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6188748/2

Therefore the LCM of Fractions 4692/468,2638/8438 is 3094374

Greatest Common Factor of 468,8438 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,8438 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 8438

List of positive integer factors of 8438 that divides 8438 without a remainder.

1,2,4219,8438

Greatest Common Factor

We found the factors 468,8438 . The biggest common factor number is the GCF number.
So the greatest common factor 468,8438 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 4692/468, 2638/8438

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 4692/468, 2638/8438?

Answer: LCM of Numerators as per given numbers 4692/468, 2638/8438 is

LCM of Numerators i.e. for 4692,2638 is 6188748

GCF of denominators i.e. for 468,8438 is 2.

Thus, LCM of Fractions is 3094374.Finally, LCM of Fractions for 4692/468, 2638/8438 is 3094374.