Least Common Multiple of 7128/490, 1258/8443

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7128/490, 1258/8443 quickly i.e. 4483512 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7128/490, 1258/8443 is 4483512.

LCM(7128/490, 1258/8443) = 4483512

LCM of 7128/490, 1258/8443

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 7128/490,1258/8443

Given numbers are 7128/490,1258/8443

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 7128,1258

Least Common Multiple of Numerators i.e. LCM of 7128,1258 is 4483512.

GCF of Denominators means GCF of 490,8443 as per the given fractions.

GCF of 490,8443 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7128,1258

LCM of Fractions 7128/490,1258/8443 is 4483512

2 7128, 1258
3564, 629

∴ So the LCM of the given numbers is 2 x 3564 x 629 = 4483512

Least Common Multiple of 7128,1258 with GCF Formula

Least Common Multiple of 7128,1258 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 7128,1258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7128,1258) = 2

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

GCF(7128,1258) x common factors =2 x 1 = 2

LCM(7128,1258) = ( 7128 × 1258 ) / 2

LCM(7128,1258) = 8967024 / 2

LCM(7128,1258) = 4483512


Lets's calculate GCF of 490,8443

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4483512/1

Therefore the LCM of Fractions 7128/490,1258/8443 is 4483512

Greatest Common Factor of 490,8443 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,8443 By Matching Biggest Common Factor Method

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 8443

List of positive integer factors of 8443 that divides 8443 without a remainder.

1,8443

Greatest Common Factor

We found the factors 490,8443 . The biggest common factor number is the GCF number.
So the greatest common factor 490,8443 is 1.


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 7128/490, 1258/8443

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 7128/490, 1258/8443?

Answer: LCM of Numerators as per given numbers 7128/490, 1258/8443 is

LCM of Numerators i.e. for 7128,1258 is 4483512

GCF of denominators i.e. for 490,8443 is 1.

Thus, LCM of Fractions is 4483512.Finally, LCM of Fractions for 7128/490, 1258/8443 is 4483512.