Least Common Multiple of 5022/487, 4882/9823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5022/487, 4882/9823 quickly i.e. 12258702 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5022/487, 4882/9823 is 12258702.

LCM(5022/487, 4882/9823) = 12258702

LCM of 5022/487, 4882/9823

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 5022/487,4882/9823

Given numbers are 5022/487,4882/9823

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 5022,4882

Least Common Multiple of Numerators i.e. LCM of 5022,4882 is 12258702.

GCF of Denominators means GCF of 487,9823 as per the given fractions.

GCF of 487,9823 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5022,4882

LCM of Fractions 5022/487,4882/9823 is 12258702

2 5022, 4882
2511, 2441

∴ So the LCM of the given numbers is 2 x 2511 x 2441 = 12258702

Least Common Multiple of 5022,4882 with GCF Formula

Least Common Multiple of 5022,4882 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 5022,4882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5022,4882) = 2

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

GCF(5022,4882) x common factors =2 x 1 = 2

LCM(5022,4882) = ( 5022 × 4882 ) / 2

LCM(5022,4882) = 24517404 / 2

LCM(5022,4882) = 12258702


Lets's calculate GCF of 487,9823

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12258702/1

Therefore the LCM of Fractions 5022/487,4882/9823 is 12258702

Greatest Common Factor of 487,9823 By Matching Biggest Common Factor Method

Greatest Common Factor of 487,9823 By Matching Biggest Common Factor Method

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Factors of 9823

List of positive integer factors of 9823 that divides 9823 without a remainder.

1,11,19,47,209,517,893,9823

Greatest Common Factor

We found the factors 487,9823 . The biggest common factor number is the GCF number.
So the greatest common factor 487,9823 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5022/487, 4882/9823

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 5022/487, 4882/9823?

Answer: LCM of Numerators as per given numbers 5022/487, 4882/9823 is

LCM of Numerators i.e. for 5022,4882 is 12258702

GCF of denominators i.e. for 487,9823 is 1.

Thus, LCM of Fractions is 12258702.Finally, LCM of Fractions for 5022/487, 4882/9823 is 12258702.