Least Common Multiple of 6276/200, 9820/5724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6276/200, 9820/5724 quickly i.e. 3851895 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6276/200, 9820/5724 is 3851895.

LCM(6276/200, 9820/5724) = 3851895

LCM of 6276/200, 9820/5724

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 6276/200,9820/5724

Given numbers are 6276/200,9820/5724

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 6276,9820

Least Common Multiple of Numerators i.e. LCM of 6276,9820 is 15407580.

GCF of Denominators means GCF of 200,5724 as per the given fractions.

GCF of 200,5724 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6276,9820

LCM of Fractions 6276/200,9820/5724 is 3851895

2 6276, 9820
2 3138, 4910
1569, 2455

∴ So the LCM of the given numbers is 2 x 2 x 1569 x 2455 = 15407580

Least Common Multiple of 6276,9820 with GCF Formula

Least Common Multiple of 6276,9820 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 6276,9820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6276,9820) = 4

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

GCF(6276,9820) x common factors =4 x 1 = 4

LCM(6276,9820) = ( 6276 × 9820 ) / 4

LCM(6276,9820) = 61630320 / 4

LCM(6276,9820) = 15407580


Lets's calculate GCF of 200,5724

2 200, 5724
2 100, 2862
50, 1431

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15407580/4

Therefore the LCM of Fractions 6276/200,9820/5724 is 3851895

Greatest Common Factor of 200,5724 By Matching Biggest Common Factor Method

Greatest Common Factor of 200,5724 By Matching Biggest Common Factor Method

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 5724

List of positive integer factors of 5724 that divides 5724 without a remainder.

1,2,3,4,6,9,12,18,27,36,53,54,106,108,159,212,318,477,636,954,1431,1908,2862,5724

Greatest Common Factor

We found the factors 200,5724 . The biggest common factor number is the GCF number.
So the greatest common factor 200,5724 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 6276/200, 9820/5724

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 6276/200, 9820/5724?

Answer: LCM of Numerators as per given numbers 6276/200, 9820/5724 is

LCM of Numerators i.e. for 6276,9820 is 15407580

GCF of denominators i.e. for 200,5724 is 4.

Thus, LCM of Fractions is 3851895.Finally, LCM of Fractions for 6276/200, 9820/5724 is 3851895.