Least Common Multiple of 2081/310, 7292/7974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2081/310, 7292/7974 quickly i.e. 7587326 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2081/310, 7292/7974 is 7587326.

LCM(2081/310, 7292/7974) = 7587326

LCM of 2081/310, 7292/7974

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 2081/310,7292/7974

Given numbers are 2081/310,7292/7974

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 2081,7292

Least Common Multiple of Numerators i.e. LCM of 2081,7292 is 15174652.

GCF of Denominators means GCF of 310,7974 as per the given fractions.

GCF of 310,7974 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2081,7292

LCM of Fractions 2081/310,7292/7974 is 7587326

Given numbers has no common factors except 1. So, there LCM is their product i.e 15174652

Least Common Multiple of 2081,7292 with GCF Formula

Least Common Multiple of 2081,7292 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 2081,7292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2081,7292) = 1

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

GCF(2081,7292) x common factors =1 x 1 = 1

LCM(2081,7292) = ( 2081 × 7292 ) / 1

LCM(2081,7292) = 15174652 / 1

LCM(2081,7292) = 15174652


Lets's calculate GCF of 310,7974

2 310, 7974
155, 3987

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15174652/2

Therefore the LCM of Fractions 2081/310,7292/7974 is 7587326

Greatest Common Factor of 310,7974 By Matching Biggest Common Factor Method

Greatest Common Factor of 310,7974 By Matching Biggest Common Factor Method

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 7974

List of positive integer factors of 7974 that divides 7974 without a remainder.

1,2,3,6,9,18,443,886,1329,2658,3987,7974

Greatest Common Factor

We found the factors 310,7974 . The biggest common factor number is the GCF number.
So the greatest common factor 310,7974 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 2081/310, 7292/7974

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 2081/310, 7292/7974?

Answer: LCM of Numerators as per given numbers 2081/310, 7292/7974 is

LCM of Numerators i.e. for 2081,7292 is 15174652

GCF of denominators i.e. for 310,7974 is 2.

Thus, LCM of Fractions is 7587326.Finally, LCM of Fractions for 2081/310, 7292/7974 is 7587326.