Least Common Multiple of 4293/966, 5874/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4293/966, 5874/828 quickly i.e. 8405694/138 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4293/966, 5874/828 is 8405694/138.

LCM(4293/966, 5874/828) = 8405694/138

LCM of 4293/966, 5874/828

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 4293/966,5874/828

Given numbers are 4293/966,5874/828

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 4293,5874

Least Common Multiple of Numerators i.e. LCM of 4293,5874 is 8405694.

GCF of Denominators means GCF of 966,828 as per the given fractions.

GCF of 966,828 is 138 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4293,5874

LCM of Fractions 4293/966,5874/828 is 8405694/138

3 4293, 5874
1431, 1958

∴ So the LCM of the given numbers is 3 x 1431 x 1958 = 8405694

Least Common Multiple of 4293,5874 with GCF Formula

Least Common Multiple of 4293,5874 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 4293,5874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4293,5874) = 3

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

GCF(4293,5874) x common factors =3 x 1 = 3

LCM(4293,5874) = ( 4293 × 5874 ) / 3

LCM(4293,5874) = 25217082 / 3

LCM(4293,5874) = 8405694


Lets's calculate GCF of 966,828

2 966, 828
3 483, 414
23 161, 138
7, 6

∴ So the GCF of the given numbers is 2 x 3 x 23 = 138

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8405694/138

Therefore the LCM of Fractions 4293/966,5874/828 is 8405694/138

Greatest Common Factor of 966,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 966,828 By Matching Biggest Common Factor Method

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 966,828 . The biggest common factor number is the GCF number.
So the greatest common factor 966,828 is 138.


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 4293/966, 5874/828

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 4293/966, 5874/828?

Answer: LCM of Numerators as per given numbers 4293/966, 5874/828 is

LCM of Numerators i.e. for 4293,5874 is 8405694

GCF of denominators i.e. for 966,828 is 138.

Thus, LCM of Fractions is 8405694/138.Finally, LCM of Fractions for 4293/966, 5874/828 is 8405694/138.