Least Common Multiple of 791/22, 635/7162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 791/22, 635/7162 quickly i.e. 502285/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 791/22, 635/7162 is 502285/2.

LCM(791/22, 635/7162) = 502285/2

LCM of 791/22, 635/7162

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 791/22,635/7162

Given numbers are 791/22,635/7162

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 791,635

Least Common Multiple of Numerators i.e. LCM of 791,635 is 502285.

GCF of Denominators means GCF of 22,7162 as per the given fractions.

GCF of 22,7162 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 791,635

LCM of Fractions 791/22,635/7162 is 502285/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 502285

Least Common Multiple of 791,635 with GCF Formula

Least Common Multiple of 791,635 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 791,635 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(791,635) = 1

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

GCF(791,635) x common factors =1 x 1 = 1

LCM(791,635) = ( 791 × 635 ) / 1

LCM(791,635) = 502285 / 1

LCM(791,635) = 502285


Lets's calculate GCF of 22,7162

2 22, 7162
11, 3581

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 502285/2

Therefore the LCM of Fractions 791/22,635/7162 is 502285/2

Greatest Common Factor of 22,7162 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,7162 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 7162

List of positive integer factors of 7162 that divides 7162 without a remainder.

1,2,3581,7162

Greatest Common Factor

We found the factors 22,7162 . The biggest common factor number is the GCF number.
So the greatest common factor 22,7162 is 2.


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 791/22, 635/7162

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 791/22, 635/7162?

Answer: LCM of Numerators as per given numbers 791/22, 635/7162 is

LCM of Numerators i.e. for 791,635 is 502285

GCF of denominators i.e. for 22,7162 is 2.

Thus, LCM of Fractions is 502285/2.Finally, LCM of Fractions for 791/22, 635/7162 is 502285/2.