Least Common Multiple of 5204/831, 6010/9897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5204/831, 6010/9897 quickly i.e. 15638020/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5204/831, 6010/9897 is 15638020/3.

LCM(5204/831, 6010/9897) = 15638020/3

LCM of 5204/831, 6010/9897

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 5204/831,6010/9897

Given numbers are 5204/831,6010/9897

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 5204,6010

Least Common Multiple of Numerators i.e. LCM of 5204,6010 is 15638020.

GCF of Denominators means GCF of 831,9897 as per the given fractions.

GCF of 831,9897 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5204,6010

LCM of Fractions 5204/831,6010/9897 is 15638020/3

2 5204, 6010
2602, 3005

∴ So the LCM of the given numbers is 2 x 2602 x 3005 = 15638020

Least Common Multiple of 5204,6010 with GCF Formula

Least Common Multiple of 5204,6010 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 5204,6010 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5204,6010) = 2

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

GCF(5204,6010) x common factors =2 x 1 = 2

LCM(5204,6010) = ( 5204 × 6010 ) / 2

LCM(5204,6010) = 31276040 / 2

LCM(5204,6010) = 15638020


Lets's calculate GCF of 831,9897

3 831, 9897
277, 3299

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15638020/3

Therefore the LCM of Fractions 5204/831,6010/9897 is 15638020/3

Greatest Common Factor of 831,9897 By Matching Biggest Common Factor Method

Greatest Common Factor of 831,9897 By Matching Biggest Common Factor Method

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Factors of 9897

List of positive integer factors of 9897 that divides 9897 without a remainder.

1,3,3299,9897

Greatest Common Factor

We found the factors 831,9897 . The biggest common factor number is the GCF number.
So the greatest common factor 831,9897 is 3.


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 5204/831, 6010/9897

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 5204/831, 6010/9897?

Answer: LCM of Numerators as per given numbers 5204/831, 6010/9897 is

LCM of Numerators i.e. for 5204,6010 is 15638020

GCF of denominators i.e. for 831,9897 is 3.

Thus, LCM of Fractions is 15638020/3.Finally, LCM of Fractions for 5204/831, 6010/9897 is 15638020/3.