Least Common Multiple of 2774/494, 9388/836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2774/494, 9388/836 quickly i.e. 342662 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2774/494, 9388/836 is 342662.

LCM(2774/494, 9388/836) = 342662

LCM of 2774/494, 9388/836

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 2774/494,9388/836

Given numbers are 2774/494,9388/836

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 2774,9388

Least Common Multiple of Numerators i.e. LCM of 2774,9388 is 13021156.

GCF of Denominators means GCF of 494,836 as per the given fractions.

GCF of 494,836 is 38 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2774,9388

LCM of Fractions 2774/494,9388/836 is 342662

2 2774, 9388
1387, 4694

∴ So the LCM of the given numbers is 2 x 1387 x 4694 = 13021156

Least Common Multiple of 2774,9388 with GCF Formula

Least Common Multiple of 2774,9388 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 2774,9388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2774,9388) = 2

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

GCF(2774,9388) x common factors =2 x 1 = 2

LCM(2774,9388) = ( 2774 × 9388 ) / 2

LCM(2774,9388) = 26042312 / 2

LCM(2774,9388) = 13021156


Lets's calculate GCF of 494,836

2 494, 836
19 247, 418
13, 22

∴ So the GCF of the given numbers is 2 x 19 = 38

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13021156/38

Therefore the LCM of Fractions 2774/494,9388/836 is 342662

Greatest Common Factor of 494,836 By Matching Biggest Common Factor Method

Greatest Common Factor of 494,836 By Matching Biggest Common Factor Method

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Greatest Common Factor

We found the factors 494,836 . The biggest common factor number is the GCF number.
So the greatest common factor 494,836 is 38.


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 2774/494, 9388/836

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 2774/494, 9388/836?

Answer: LCM of Numerators as per given numbers 2774/494, 9388/836 is

LCM of Numerators i.e. for 2774,9388 is 13021156

GCF of denominators i.e. for 494,836 is 38.

Thus, LCM of Fractions is 342662.Finally, LCM of Fractions for 2774/494, 9388/836 is 342662.