Least Common Multiple of 7982/72, 7386/850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7982/72, 7386/850 quickly i.e. 14738763 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7982/72, 7386/850 is 14738763.

LCM(7982/72, 7386/850) = 14738763

LCM of 7982/72, 7386/850

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 7982/72,7386/850

Given numbers are 7982/72,7386/850

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 7982,7386

Least Common Multiple of Numerators i.e. LCM of 7982,7386 is 29477526.

GCF of Denominators means GCF of 72,850 as per the given fractions.

GCF of 72,850 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7982,7386

LCM of Fractions 7982/72,7386/850 is 14738763

2 7982, 7386
3991, 3693

∴ So the LCM of the given numbers is 2 x 3991 x 3693 = 29477526

Least Common Multiple of 7982,7386 with GCF Formula

Least Common Multiple of 7982,7386 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 7982,7386 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7982,7386) = 2

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

GCF(7982,7386) x common factors =2 x 1 = 2

LCM(7982,7386) = ( 7982 × 7386 ) / 2

LCM(7982,7386) = 58955052 / 2

LCM(7982,7386) = 29477526


Lets's calculate GCF of 72,850

2 72, 850
36, 425

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29477526/2

Therefore the LCM of Fractions 7982/72,7386/850 is 14738763

Greatest Common Factor of 72,850 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,850 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Greatest Common Factor

We found the factors 72,850 . The biggest common factor number is the GCF number.
So the greatest common factor 72,850 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 7982/72, 7386/850

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 7982/72, 7386/850?

Answer: LCM of Numerators as per given numbers 7982/72, 7386/850 is

LCM of Numerators i.e. for 7982,7386 is 29477526

GCF of denominators i.e. for 72,850 is 2.

Thus, LCM of Fractions is 14738763.Finally, LCM of Fractions for 7982/72, 7386/850 is 14738763.