Least Common Multiple of 56/863, 1838/5948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/863, 1838/5948 quickly i.e. 51464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/863, 1838/5948 is 51464.

LCM(56/863, 1838/5948) = 51464

LCM of 56/863, 1838/5948

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 56/863,1838/5948

Given numbers are 56/863,1838/5948

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 56,1838

Least Common Multiple of Numerators i.e. LCM of 56,1838 is 51464.

GCF of Denominators means GCF of 863,5948 as per the given fractions.

GCF of 863,5948 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,1838

LCM of Fractions 56/863,1838/5948 is 51464

2 56, 1838
28, 919

∴ So the LCM of the given numbers is 2 x 28 x 919 = 51464

Least Common Multiple of 56,1838 with GCF Formula

Least Common Multiple of 56,1838 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 56,1838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,1838) = 2

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

GCF(56,1838) x common factors =2 x 1 = 2

LCM(56,1838) = ( 56 × 1838 ) / 2

LCM(56,1838) = 102928 / 2

LCM(56,1838) = 51464


Lets's calculate GCF of 863,5948

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51464/1

Therefore the LCM of Fractions 56/863,1838/5948 is 51464

Greatest Common Factor of 863,5948 By Matching Biggest Common Factor Method

Greatest Common Factor of 863,5948 By Matching Biggest Common Factor Method

Factors of 863

List of positive integer factors of 863 that divides 863 without a remainder.

1,863

Factors of 5948

List of positive integer factors of 5948 that divides 5948 without a remainder.

1,2,4,1487,2974,5948

Greatest Common Factor

We found the factors 863,5948 . The biggest common factor number is the GCF number.
So the greatest common factor 863,5948 is 1.


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 56/863, 1838/5948

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 56/863, 1838/5948?

Answer: LCM of Numerators as per given numbers 56/863, 1838/5948 is

LCM of Numerators i.e. for 56,1838 is 51464

GCF of denominators i.e. for 863,5948 is 1.

Thus, LCM of Fractions is 51464.Finally, LCM of Fractions for 56/863, 1838/5948 is 51464.