Least Common Multiple of 4365/993, 1642/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4365/993, 1642/342 quickly i.e. 2389110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4365/993, 1642/342 is 2389110.

LCM(4365/993, 1642/342) = 2389110

LCM of 4365/993, 1642/342

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 4365/993,1642/342

Given numbers are 4365/993,1642/342

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 4365,1642

Least Common Multiple of Numerators i.e. LCM of 4365,1642 is 7167330.

GCF of Denominators means GCF of 993,342 as per the given fractions.

GCF of 993,342 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4365,1642

LCM of Fractions 4365/993,1642/342 is 2389110

Given numbers has no common factors except 1. So, there LCM is their product i.e 7167330

Least Common Multiple of 4365,1642 with GCF Formula

Least Common Multiple of 4365,1642 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 4365,1642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4365,1642) = 1

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

GCF(4365,1642) x common factors =1 x 1 = 1

LCM(4365,1642) = ( 4365 × 1642 ) / 1

LCM(4365,1642) = 7167330 / 1

LCM(4365,1642) = 7167330


Lets's calculate GCF of 993,342

3 993, 342
331, 114

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7167330/3

Therefore the LCM of Fractions 4365/993,1642/342 is 2389110

Greatest Common Factor of 993,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 993,342 By Matching Biggest Common Factor Method

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 993,342 . The biggest common factor number is the GCF number.
So the greatest common factor 993,342 is 3.


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 4365/993, 1642/342

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 4365/993, 1642/342?

Answer: LCM of Numerators as per given numbers 4365/993, 1642/342 is

LCM of Numerators i.e. for 4365,1642 is 7167330

GCF of denominators i.e. for 993,342 is 3.

Thus, LCM of Fractions is 2389110.Finally, LCM of Fractions for 4365/993, 1642/342 is 2389110.