Least Common Multiple of 2901/824, 4734/982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2901/824, 4734/982 quickly i.e. 2288889 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2901/824, 4734/982 is 2288889.

LCM(2901/824, 4734/982) = 2288889

LCM of 2901/824, 4734/982

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 2901/824,4734/982

Given numbers are 2901/824,4734/982

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 2901,4734

Least Common Multiple of Numerators i.e. LCM of 2901,4734 is 4577778.

GCF of Denominators means GCF of 824,982 as per the given fractions.

GCF of 824,982 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2901,4734

LCM of Fractions 2901/824,4734/982 is 2288889

3 2901, 4734
967, 1578

∴ So the LCM of the given numbers is 3 x 967 x 1578 = 4577778

Least Common Multiple of 2901,4734 with GCF Formula

Least Common Multiple of 2901,4734 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 2901,4734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2901,4734) = 3

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

GCF(2901,4734) x common factors =3 x 1 = 3

LCM(2901,4734) = ( 2901 × 4734 ) / 3

LCM(2901,4734) = 13733334 / 3

LCM(2901,4734) = 4577778


Lets's calculate GCF of 824,982

2 824, 982
412, 491

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4577778/2

Therefore the LCM of Fractions 2901/824,4734/982 is 2288889

Greatest Common Factor of 824,982 By Matching Biggest Common Factor Method

Greatest Common Factor of 824,982 By Matching Biggest Common Factor Method

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Greatest Common Factor

We found the factors 824,982 . The biggest common factor number is the GCF number.
So the greatest common factor 824,982 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 2901/824, 4734/982

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 2901/824, 4734/982?

Answer: LCM of Numerators as per given numbers 2901/824, 4734/982 is

LCM of Numerators i.e. for 2901,4734 is 4577778

GCF of denominators i.e. for 824,982 is 2.

Thus, LCM of Fractions is 2288889.Finally, LCM of Fractions for 2901/824, 4734/982 is 2288889.