Least Common Multiple of 4858/906, 2812/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4858/906, 2812/442 quickly i.e. 3415174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4858/906, 2812/442 is 3415174.

LCM(4858/906, 2812/442) = 3415174

LCM of 4858/906, 2812/442

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 4858/906,2812/442

Given numbers are 4858/906,2812/442

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 4858,2812

Least Common Multiple of Numerators i.e. LCM of 4858,2812 is 6830348.

GCF of Denominators means GCF of 906,442 as per the given fractions.

GCF of 906,442 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4858,2812

LCM of Fractions 4858/906,2812/442 is 3415174

2 4858, 2812
2429, 1406

∴ So the LCM of the given numbers is 2 x 2429 x 1406 = 6830348

Least Common Multiple of 4858,2812 with GCF Formula

Least Common Multiple of 4858,2812 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 4858,2812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4858,2812) = 2

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

GCF(4858,2812) x common factors =2 x 1 = 2

LCM(4858,2812) = ( 4858 × 2812 ) / 2

LCM(4858,2812) = 13660696 / 2

LCM(4858,2812) = 6830348


Lets's calculate GCF of 906,442

2 906, 442
453, 221

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6830348/2

Therefore the LCM of Fractions 4858/906,2812/442 is 3415174

Greatest Common Factor of 906,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 906,442 By Matching Biggest Common Factor Method

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 906,442 . The biggest common factor number is the GCF number.
So the greatest common factor 906,442 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 4858/906, 2812/442

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 4858/906, 2812/442?

Answer: LCM of Numerators as per given numbers 4858/906, 2812/442 is

LCM of Numerators i.e. for 4858,2812 is 6830348

GCF of denominators i.e. for 906,442 is 2.

Thus, LCM of Fractions is 3415174.Finally, LCM of Fractions for 4858/906, 2812/442 is 3415174.