Least Common Multiple of 5034/450, 9857/6758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5034/450, 9857/6758 quickly i.e. 24810069 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5034/450, 9857/6758 is 24810069.

LCM(5034/450, 9857/6758) = 24810069

LCM of 5034/450, 9857/6758

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 5034/450,9857/6758

Given numbers are 5034/450,9857/6758

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 5034,9857

Least Common Multiple of Numerators i.e. LCM of 5034,9857 is 49620138.

GCF of Denominators means GCF of 450,6758 as per the given fractions.

GCF of 450,6758 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5034,9857

LCM of Fractions 5034/450,9857/6758 is 24810069

Given numbers has no common factors except 1. So, there LCM is their product i.e 49620138

Least Common Multiple of 5034,9857 with GCF Formula

Least Common Multiple of 5034,9857 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 5034,9857 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5034,9857) = 1

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

GCF(5034,9857) x common factors =1 x 1 = 1

LCM(5034,9857) = ( 5034 × 9857 ) / 1

LCM(5034,9857) = 49620138 / 1

LCM(5034,9857) = 49620138


Lets's calculate GCF of 450,6758

2 450, 6758
225, 3379

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49620138/2

Therefore the LCM of Fractions 5034/450,9857/6758 is 24810069

Greatest Common Factor of 450,6758 By Matching Biggest Common Factor Method

Greatest Common Factor of 450,6758 By Matching Biggest Common Factor Method

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 6758

List of positive integer factors of 6758 that divides 6758 without a remainder.

1,2,31,62,109,218,3379,6758

Greatest Common Factor

We found the factors 450,6758 . The biggest common factor number is the GCF number.
So the greatest common factor 450,6758 is 2.


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 5034/450, 9857/6758

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 5034/450, 9857/6758?

Answer: LCM of Numerators as per given numbers 5034/450, 9857/6758 is

LCM of Numerators i.e. for 5034,9857 is 49620138

GCF of denominators i.e. for 450,6758 is 2.

Thus, LCM of Fractions is 24810069.Finally, LCM of Fractions for 5034/450, 9857/6758 is 24810069.