Least Common Multiple of 1829/993, 3024/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1829/993, 3024/642 quickly i.e. 1843632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1829/993, 3024/642 is 1843632.

LCM(1829/993, 3024/642) = 1843632

LCM of 1829/993, 3024/642

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 1829/993,3024/642

Given numbers are 1829/993,3024/642

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 1829,3024

Least Common Multiple of Numerators i.e. LCM of 1829,3024 is 5530896.

GCF of Denominators means GCF of 993,642 as per the given fractions.

GCF of 993,642 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1829,3024

LCM of Fractions 1829/993,3024/642 is 1843632

Given numbers has no common factors except 1. So, there LCM is their product i.e 5530896

Least Common Multiple of 1829,3024 with GCF Formula

Least Common Multiple of 1829,3024 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 1829,3024 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1829,3024) = 1

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

GCF(1829,3024) x common factors =1 x 1 = 1

LCM(1829,3024) = ( 1829 × 3024 ) / 1

LCM(1829,3024) = 5530896 / 1

LCM(1829,3024) = 5530896


Lets's calculate GCF of 993,642

3 993, 642
331, 214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5530896/3

Therefore the LCM of Fractions 1829/993,3024/642 is 1843632

Greatest Common Factor of 993,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 993,642 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 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors 993,642 . The biggest common factor number is the GCF number.
So the greatest common factor 993,642 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1829/993, 3024/642

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 1829/993, 3024/642?

Answer: LCM of Numerators as per given numbers 1829/993, 3024/642 is

LCM of Numerators i.e. for 1829,3024 is 5530896

GCF of denominators i.e. for 993,642 is 3.

Thus, LCM of Fractions is 1843632.Finally, LCM of Fractions for 1829/993, 3024/642 is 1843632.