Least Common Multiple of 7973/111, 7906/7289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7973/111, 7906/7289 quickly i.e. 940814/37 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7973/111, 7906/7289 is 940814/37.

LCM(7973/111, 7906/7289) = 940814/37

LCM of 7973/111, 7906/7289

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 7973/111,7906/7289

Given numbers are 7973/111,7906/7289

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 7973,7906

Least Common Multiple of Numerators i.e. LCM of 7973,7906 is 940814.

GCF of Denominators means GCF of 111,7289 as per the given fractions.

GCF of 111,7289 is 37 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7973,7906

LCM of Fractions 7973/111,7906/7289 is 940814/37

67 7973, 7906
119, 118

∴ So the LCM of the given numbers is 67 x 119 x 118 = 940814

Least Common Multiple of 7973,7906 with GCF Formula

Least Common Multiple of 7973,7906 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 7973,7906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7973,7906) = 67

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

GCF(7973,7906) x common factors =67 x 1 = 67

LCM(7973,7906) = ( 7973 × 7906 ) / 67

LCM(7973,7906) = 63034538 / 67

LCM(7973,7906) = 940814


Lets's calculate GCF of 111,7289

37 111, 7289
3, 197

∴ So the GCF of the given numbers is 37 = 37

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 940814/37

Therefore the LCM of Fractions 7973/111,7906/7289 is 940814/37

Greatest Common Factor of 111,7289 By Matching Biggest Common Factor Method

Greatest Common Factor of 111,7289 By Matching Biggest Common Factor Method

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Factors of 7289

List of positive integer factors of 7289 that divides 7289 without a remainder.

1,37,197,7289

Greatest Common Factor

We found the factors 111,7289 . The biggest common factor number is the GCF number.
So the greatest common factor 111,7289 is 37.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7973/111, 7906/7289

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 7973/111, 7906/7289?

Answer: LCM of Numerators as per given numbers 7973/111, 7906/7289 is

LCM of Numerators i.e. for 7973,7906 is 940814

GCF of denominators i.e. for 111,7289 is 37.

Thus, LCM of Fractions is 940814/37.Finally, LCM of Fractions for 7973/111, 7906/7289 is 940814/37.