Least Common Multiple of 10/747, 3043/5200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 10/747, 3043/5200 quickly i.e. 30430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/747, 3043/5200 is 30430.

LCM(10/747, 3043/5200) = 30430

LCM of 10/747, 3043/5200

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 10/747,3043/5200

Given numbers are 10/747,3043/5200

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 10,3043

Least Common Multiple of Numerators i.e. LCM of 10,3043 is 30430.

GCF of Denominators means GCF of 747,5200 as per the given fractions.

GCF of 747,5200 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,3043

LCM of Fractions 10/747,3043/5200 is 30430

Given numbers has no common factors except 1. So, there LCM is their product i.e 30430

Least Common Multiple of 10,3043 with GCF Formula

Least Common Multiple of 10,3043 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 10,3043 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,3043) = 1

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

GCF(10,3043) x common factors =1 x 1 = 1

LCM(10,3043) = ( 10 × 3043 ) / 1

LCM(10,3043) = 30430 / 1

LCM(10,3043) = 30430


Lets's calculate GCF of 747,5200

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30430/1

Therefore the LCM of Fractions 10/747,3043/5200 is 30430

Greatest Common Factor of 747,5200 By Matching Biggest Common Factor Method

Greatest Common Factor of 747,5200 By Matching Biggest Common Factor Method

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Factors of 5200

List of positive integer factors of 5200 that divides 5200 without a remainder.

1,2,4,5,8,10,13,16,20,25,26,40,50,52,65,80,100,104,130,200,208,260,325,400,520,650,1040,1300,2600,5200

Greatest Common Factor

We found the factors 747,5200 . The biggest common factor number is the GCF number.
So the greatest common factor 747,5200 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 10/747, 3043/5200

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 10/747, 3043/5200?

Answer: LCM of Numerators as per given numbers 10/747, 3043/5200 is

LCM of Numerators i.e. for 10,3043 is 30430

GCF of denominators i.e. for 747,5200 is 1.

Thus, LCM of Fractions is 30430.Finally, LCM of Fractions for 10/747, 3043/5200 is 30430.