Least Common Multiple of 1221/382, 4640/8942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1221/382, 4640/8942 quickly i.e. 2832720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1221/382, 4640/8942 is 2832720.

LCM(1221/382, 4640/8942) = 2832720

LCM of 1221/382, 4640/8942

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 1221/382,4640/8942

Given numbers are 1221/382,4640/8942

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 1221,4640

Least Common Multiple of Numerators i.e. LCM of 1221,4640 is 5665440.

GCF of Denominators means GCF of 382,8942 as per the given fractions.

GCF of 382,8942 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1221,4640

LCM of Fractions 1221/382,4640/8942 is 2832720

Given numbers has no common factors except 1. So, there LCM is their product i.e 5665440

Least Common Multiple of 1221,4640 with GCF Formula

Least Common Multiple of 1221,4640 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 1221,4640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1221,4640) = 1

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

GCF(1221,4640) x common factors =1 x 1 = 1

LCM(1221,4640) = ( 1221 × 4640 ) / 1

LCM(1221,4640) = 5665440 / 1

LCM(1221,4640) = 5665440


Lets's calculate GCF of 382,8942

2 382, 8942
191, 4471

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5665440/2

Therefore the LCM of Fractions 1221/382,4640/8942 is 2832720

Greatest Common Factor of 382,8942 By Matching Biggest Common Factor Method

Greatest Common Factor of 382,8942 By Matching Biggest Common Factor Method

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 8942

List of positive integer factors of 8942 that divides 8942 without a remainder.

1,2,17,34,263,526,4471,8942

Greatest Common Factor

We found the factors 382,8942 . The biggest common factor number is the GCF number.
So the greatest common factor 382,8942 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 1221/382, 4640/8942

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 1221/382, 4640/8942?

Answer: LCM of Numerators as per given numbers 1221/382, 4640/8942 is

LCM of Numerators i.e. for 1221,4640 is 5665440

GCF of denominators i.e. for 382,8942 is 2.

Thus, LCM of Fractions is 2832720.Finally, LCM of Fractions for 1221/382, 4640/8942 is 2832720.