Least Common Multiple of 3720/864, 1354/9748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3720/864, 1354/9748 quickly i.e. 629610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3720/864, 1354/9748 is 629610.

LCM(3720/864, 1354/9748) = 629610

LCM of 3720/864, 1354/9748

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 3720/864,1354/9748

Given numbers are 3720/864,1354/9748

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 3720,1354

Least Common Multiple of Numerators i.e. LCM of 3720,1354 is 2518440.

GCF of Denominators means GCF of 864,9748 as per the given fractions.

GCF of 864,9748 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3720,1354

LCM of Fractions 3720/864,1354/9748 is 629610

2 3720, 1354
1860, 677

∴ So the LCM of the given numbers is 2 x 1860 x 677 = 2518440

Least Common Multiple of 3720,1354 with GCF Formula

Least Common Multiple of 3720,1354 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 3720,1354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3720,1354) = 2

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

GCF(3720,1354) x common factors =2 x 1 = 2

LCM(3720,1354) = ( 3720 × 1354 ) / 2

LCM(3720,1354) = 5036880 / 2

LCM(3720,1354) = 2518440


Lets's calculate GCF of 864,9748

2 864, 9748
2 432, 4874
216, 2437

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2518440/4

Therefore the LCM of Fractions 3720/864,1354/9748 is 629610

Greatest Common Factor of 864,9748 By Matching Biggest Common Factor Method

Greatest Common Factor of 864,9748 By Matching Biggest Common Factor Method

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Factors of 9748

List of positive integer factors of 9748 that divides 9748 without a remainder.

1,2,4,2437,4874,9748

Greatest Common Factor

We found the factors 864,9748 . The biggest common factor number is the GCF number.
So the greatest common factor 864,9748 is 4.


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 3720/864, 1354/9748

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 3720/864, 1354/9748?

Answer: LCM of Numerators as per given numbers 3720/864, 1354/9748 is

LCM of Numerators i.e. for 3720,1354 is 2518440

GCF of denominators i.e. for 864,9748 is 4.

Thus, LCM of Fractions is 629610.Finally, LCM of Fractions for 3720/864, 1354/9748 is 629610.