Least Common Multiple of 3163/852, 2674/2298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3163/852, 2674/2298 quickly i.e. 8457862/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3163/852, 2674/2298 is 8457862/6.

LCM(3163/852, 2674/2298) = 8457862/6

LCM of 3163/852, 2674/2298

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 3163/852,2674/2298

Given numbers are 3163/852,2674/2298

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 3163,2674

Least Common Multiple of Numerators i.e. LCM of 3163,2674 is 8457862.

GCF of Denominators means GCF of 852,2298 as per the given fractions.

GCF of 852,2298 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3163,2674

LCM of Fractions 3163/852,2674/2298 is 8457862/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 8457862

Least Common Multiple of 3163,2674 with GCF Formula

Least Common Multiple of 3163,2674 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 3163,2674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3163,2674) = 1

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

GCF(3163,2674) x common factors =1 x 1 = 1

LCM(3163,2674) = ( 3163 × 2674 ) / 1

LCM(3163,2674) = 8457862 / 1

LCM(3163,2674) = 8457862


Lets's calculate GCF of 852,2298

2 852, 2298
3 426, 1149
142, 383

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8457862/6

Therefore the LCM of Fractions 3163/852,2674/2298 is 8457862/6

Greatest Common Factor of 852,2298 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,2298 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 2298

List of positive integer factors of 2298 that divides 2298 without a remainder.

1,2,3,6,383,766,1149,2298

Greatest Common Factor

We found the factors 852,2298 . The biggest common factor number is the GCF number.
So the greatest common factor 852,2298 is 6.


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 3163/852, 2674/2298

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 3163/852, 2674/2298?

Answer: LCM of Numerators as per given numbers 3163/852, 2674/2298 is

LCM of Numerators i.e. for 3163,2674 is 8457862

GCF of denominators i.e. for 852,2298 is 6.

Thus, LCM of Fractions is 8457862/6.Finally, LCM of Fractions for 3163/852, 2674/2298 is 8457862/6.