Least Common Multiple of 8162/825, 2958/5375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8162/825, 2958/5375 quickly i.e. 12071598/25 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8162/825, 2958/5375 is 12071598/25.

LCM(8162/825, 2958/5375) = 12071598/25

LCM of 8162/825, 2958/5375

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 8162/825,2958/5375

Given numbers are 8162/825,2958/5375

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 8162,2958

Least Common Multiple of Numerators i.e. LCM of 8162,2958 is 12071598.

GCF of Denominators means GCF of 825,5375 as per the given fractions.

GCF of 825,5375 is 25 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8162,2958

LCM of Fractions 8162/825,2958/5375 is 12071598/25

2 8162, 2958
4081, 1479

∴ So the LCM of the given numbers is 2 x 4081 x 1479 = 12071598

Least Common Multiple of 8162,2958 with GCF Formula

Least Common Multiple of 8162,2958 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 8162,2958 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8162,2958) = 2

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

GCF(8162,2958) x common factors =2 x 1 = 2

LCM(8162,2958) = ( 8162 × 2958 ) / 2

LCM(8162,2958) = 24143196 / 2

LCM(8162,2958) = 12071598


Lets's calculate GCF of 825,5375

5 825, 5375
5 165, 1075
33, 215

∴ So the GCF of the given numbers is 5 x 5 = 25

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12071598/25

Therefore the LCM of Fractions 8162/825,2958/5375 is 12071598/25

Greatest Common Factor of 825,5375 By Matching Biggest Common Factor Method

Greatest Common Factor of 825,5375 By Matching Biggest Common Factor Method

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Factors of 5375

List of positive integer factors of 5375 that divides 5375 without a remainder.

1,5,25,43,125,215,1075,5375

Greatest Common Factor

We found the factors 825,5375 . The biggest common factor number is the GCF number.
So the greatest common factor 825,5375 is 25.


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 8162/825, 2958/5375

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 8162/825, 2958/5375?

Answer: LCM of Numerators as per given numbers 8162/825, 2958/5375 is

LCM of Numerators i.e. for 8162,2958 is 12071598

GCF of denominators i.e. for 825,5375 is 25.

Thus, LCM of Fractions is 12071598/25.Finally, LCM of Fractions for 8162/825, 2958/5375 is 12071598/25.