Least Common Multiple of 8812/620, 2301/9314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8812/620, 2301/9314 quickly i.e. 10138206 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8812/620, 2301/9314 is 10138206.

LCM(8812/620, 2301/9314) = 10138206

LCM of 8812/620, 2301/9314

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 8812/620,2301/9314

Given numbers are 8812/620,2301/9314

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 8812,2301

Least Common Multiple of Numerators i.e. LCM of 8812,2301 is 20276412.

GCF of Denominators means GCF of 620,9314 as per the given fractions.

GCF of 620,9314 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8812,2301

LCM of Fractions 8812/620,2301/9314 is 10138206

Given numbers has no common factors except 1. So, there LCM is their product i.e 20276412

Least Common Multiple of 8812,2301 with GCF Formula

Least Common Multiple of 8812,2301 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 8812,2301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8812,2301) = 1

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

GCF(8812,2301) x common factors =1 x 1 = 1

LCM(8812,2301) = ( 8812 × 2301 ) / 1

LCM(8812,2301) = 20276412 / 1

LCM(8812,2301) = 20276412


Lets's calculate GCF of 620,9314

2 620, 9314
310, 4657

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20276412/2

Therefore the LCM of Fractions 8812/620,2301/9314 is 10138206

Greatest Common Factor of 620,9314 By Matching Biggest Common Factor Method

Greatest Common Factor of 620,9314 By Matching Biggest Common Factor Method

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Factors of 9314

List of positive integer factors of 9314 that divides 9314 without a remainder.

1,2,4657,9314

Greatest Common Factor

We found the factors 620,9314 . The biggest common factor number is the GCF number.
So the greatest common factor 620,9314 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 8812/620, 2301/9314

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 8812/620, 2301/9314?

Answer: LCM of Numerators as per given numbers 8812/620, 2301/9314 is

LCM of Numerators i.e. for 8812,2301 is 20276412

GCF of denominators i.e. for 620,9314 is 2.

Thus, LCM of Fractions is 10138206.Finally, LCM of Fractions for 8812/620, 2301/9314 is 10138206.