Least Common Multiple of 8400/713, 4298/1061

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8400/713, 4298/1061 quickly i.e. 2578800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8400/713, 4298/1061 is 2578800.

LCM(8400/713, 4298/1061) = 2578800

LCM of 8400/713, 4298/1061

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 8400/713,4298/1061

Given numbers are 8400/713,4298/1061

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 8400,4298

Least Common Multiple of Numerators i.e. LCM of 8400,4298 is 2578800.

GCF of Denominators means GCF of 713,1061 as per the given fractions.

GCF of 713,1061 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8400,4298

LCM of Fractions 8400/713,4298/1061 is 2578800

2 8400, 4298
7 4200, 2149
600, 307

∴ So the LCM of the given numbers is 2 x 7 x 600 x 307 = 2578800

Least Common Multiple of 8400,4298 with GCF Formula

Least Common Multiple of 8400,4298 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 8400,4298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8400,4298) = 14

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

GCF(8400,4298) x common factors =14 x 1 = 14

LCM(8400,4298) = ( 8400 × 4298 ) / 14

LCM(8400,4298) = 36103200 / 14

LCM(8400,4298) = 2578800


Lets's calculate GCF of 713,1061

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2578800/1

Therefore the LCM of Fractions 8400/713,4298/1061 is 2578800

Greatest Common Factor of 713,1061 By Matching Biggest Common Factor Method

Greatest Common Factor of 713,1061 By Matching Biggest Common Factor Method

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Factors of 1061

List of positive integer factors of 1061 that divides 1061 without a remainder.

1,1061

Greatest Common Factor

We found the factors 713,1061 . The biggest common factor number is the GCF number.
So the greatest common factor 713,1061 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 8400/713, 4298/1061

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 8400/713, 4298/1061?

Answer: LCM of Numerators as per given numbers 8400/713, 4298/1061 is

LCM of Numerators i.e. for 8400,4298 is 2578800

GCF of denominators i.e. for 713,1061 is 1.

Thus, LCM of Fractions is 2578800.Finally, LCM of Fractions for 8400/713, 4298/1061 is 2578800.