Least Common Multiple of 5820/893, 2947/7638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5820/893, 2947/7638 quickly i.e. 17151540/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5820/893, 2947/7638 is 17151540/19.

LCM(5820/893, 2947/7638) = 17151540/19

LCM of 5820/893, 2947/7638

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 5820/893,2947/7638

Given numbers are 5820/893,2947/7638

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 5820,2947

Least Common Multiple of Numerators i.e. LCM of 5820,2947 is 17151540.

GCF of Denominators means GCF of 893,7638 as per the given fractions.

GCF of 893,7638 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5820,2947

LCM of Fractions 5820/893,2947/7638 is 17151540/19

Given numbers has no common factors except 1. So, there LCM is their product i.e 17151540

Least Common Multiple of 5820,2947 with GCF Formula

Least Common Multiple of 5820,2947 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 5820,2947 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5820,2947) = 1

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

GCF(5820,2947) x common factors =1 x 1 = 1

LCM(5820,2947) = ( 5820 × 2947 ) / 1

LCM(5820,2947) = 17151540 / 1

LCM(5820,2947) = 17151540


Lets's calculate GCF of 893,7638

19 893, 7638
47, 402

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17151540/19

Therefore the LCM of Fractions 5820/893,2947/7638 is 17151540/19

Greatest Common Factor of 893,7638 By Matching Biggest Common Factor Method

Greatest Common Factor of 893,7638 By Matching Biggest Common Factor Method

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Factors of 7638

List of positive integer factors of 7638 that divides 7638 without a remainder.

1,2,3,6,19,38,57,67,114,134,201,402,1273,2546,3819,7638

Greatest Common Factor

We found the factors 893,7638 . The biggest common factor number is the GCF number.
So the greatest common factor 893,7638 is 19.


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 5820/893, 2947/7638

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 5820/893, 2947/7638?

Answer: LCM of Numerators as per given numbers 5820/893, 2947/7638 is

LCM of Numerators i.e. for 5820,2947 is 17151540

GCF of denominators i.e. for 893,7638 is 19.

Thus, LCM of Fractions is 17151540/19.Finally, LCM of Fractions for 5820/893, 2947/7638 is 17151540/19.