Least Common Multiple of 5024/394, 9814/3120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5024/394, 9814/3120 quickly i.e. 12326384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5024/394, 9814/3120 is 12326384.

LCM(5024/394, 9814/3120) = 12326384

LCM of 5024/394, 9814/3120

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 5024/394,9814/3120

Given numbers are 5024/394,9814/3120

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 5024,9814

Least Common Multiple of Numerators i.e. LCM of 5024,9814 is 24652768.

GCF of Denominators means GCF of 394,3120 as per the given fractions.

GCF of 394,3120 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5024,9814

LCM of Fractions 5024/394,9814/3120 is 12326384

2 5024, 9814
2512, 4907

∴ So the LCM of the given numbers is 2 x 2512 x 4907 = 24652768

Least Common Multiple of 5024,9814 with GCF Formula

Least Common Multiple of 5024,9814 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 5024,9814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5024,9814) = 2

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

GCF(5024,9814) x common factors =2 x 1 = 2

LCM(5024,9814) = ( 5024 × 9814 ) / 2

LCM(5024,9814) = 49305536 / 2

LCM(5024,9814) = 24652768


Lets's calculate GCF of 394,3120

2 394, 3120
197, 1560

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24652768/2

Therefore the LCM of Fractions 5024/394,9814/3120 is 12326384

Greatest Common Factor of 394,3120 By Matching Biggest Common Factor Method

Greatest Common Factor of 394,3120 By Matching Biggest Common Factor Method

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Factors of 3120

List of positive integer factors of 3120 that divides 3120 without a remainder.

1,2,3,4,5,6,8,10,12,13,15,16,20,24,26,30,39,40,48,52,60,65,78,80,104,120,130,156,195,208,240,260,312,390,520,624,780,1040,1560,3120

Greatest Common Factor

We found the factors 394,3120 . The biggest common factor number is the GCF number.
So the greatest common factor 394,3120 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 5024/394, 9814/3120

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 5024/394, 9814/3120?

Answer: LCM of Numerators as per given numbers 5024/394, 9814/3120 is

LCM of Numerators i.e. for 5024,9814 is 24652768

GCF of denominators i.e. for 394,3120 is 2.

Thus, LCM of Fractions is 12326384.Finally, LCM of Fractions for 5024/394, 9814/3120 is 12326384.