Least Common Multiple of 1816/84, 9429/483

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1816/84, 9429/483 quickly i.e. 815384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1816/84, 9429/483 is 815384.

LCM(1816/84, 9429/483) = 815384

LCM of 1816/84, 9429/483

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 1816/84,9429/483

Given numbers are 1816/84,9429/483

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 1816,9429

Least Common Multiple of Numerators i.e. LCM of 1816,9429 is 17123064.

GCF of Denominators means GCF of 84,483 as per the given fractions.

GCF of 84,483 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1816,9429

LCM of Fractions 1816/84,9429/483 is 815384

Given numbers has no common factors except 1. So, there LCM is their product i.e 17123064

Least Common Multiple of 1816,9429 with GCF Formula

Least Common Multiple of 1816,9429 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 1816,9429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1816,9429) = 1

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

GCF(1816,9429) x common factors =1 x 1 = 1

LCM(1816,9429) = ( 1816 × 9429 ) / 1

LCM(1816,9429) = 17123064 / 1

LCM(1816,9429) = 17123064


Lets's calculate GCF of 84,483

3 84, 483
7 28, 161
4, 23

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17123064/21

Therefore the LCM of Fractions 1816/84,9429/483 is 815384

Greatest Common Factor of 84,483 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,483 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Greatest Common Factor

We found the factors 84,483 . The biggest common factor number is the GCF number.
So the greatest common factor 84,483 is 21.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 1816/84, 9429/483

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 1816/84, 9429/483?

Answer: LCM of Numerators as per given numbers 1816/84, 9429/483 is

LCM of Numerators i.e. for 1816,9429 is 17123064

GCF of denominators i.e. for 84,483 is 21.

Thus, LCM of Fractions is 815384.Finally, LCM of Fractions for 1816/84, 9429/483 is 815384.