Least Common Multiple of 12/802, 5445/9342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 12/802, 5445/9342 quickly i.e. 10890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/802, 5445/9342 is 10890.

LCM(12/802, 5445/9342) = 10890

LCM of 12/802, 5445/9342

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 12/802,5445/9342

Given numbers are 12/802,5445/9342

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 12,5445

Least Common Multiple of Numerators i.e. LCM of 12,5445 is 21780.

GCF of Denominators means GCF of 802,9342 as per the given fractions.

GCF of 802,9342 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,5445

LCM of Fractions 12/802,5445/9342 is 10890

3 12, 5445
4, 1815

∴ So the LCM of the given numbers is 3 x 4 x 1815 = 21780

Least Common Multiple of 12,5445 with GCF Formula

Least Common Multiple of 12,5445 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 12,5445 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,5445) = 3

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

GCF(12,5445) x common factors =3 x 1 = 3

LCM(12,5445) = ( 12 × 5445 ) / 3

LCM(12,5445) = 65340 / 3

LCM(12,5445) = 21780


Lets's calculate GCF of 802,9342

2 802, 9342
401, 4671

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21780/2

Therefore the LCM of Fractions 12/802,5445/9342 is 10890

Greatest Common Factor of 802,9342 By Matching Biggest Common Factor Method

Greatest Common Factor of 802,9342 By Matching Biggest Common Factor Method

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Factors of 9342

List of positive integer factors of 9342 that divides 9342 without a remainder.

1,2,3,6,9,18,27,54,173,346,519,1038,1557,3114,4671,9342

Greatest Common Factor

We found the factors 802,9342 . The biggest common factor number is the GCF number.
So the greatest common factor 802,9342 is 2.


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Frequently Asked Questions on Fractional LCM of 12/802, 5445/9342

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 12/802, 5445/9342?

Answer: LCM of Numerators as per given numbers 12/802, 5445/9342 is

LCM of Numerators i.e. for 12,5445 is 21780

GCF of denominators i.e. for 802,9342 is 2.

Thus, LCM of Fractions is 10890.Finally, LCM of Fractions for 12/802, 5445/9342 is 10890.