Least Common Multiple of 283/37, 364/9964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 283/37, 364/9964 quickly i.e. 103012 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 283/37, 364/9964 is 103012.

LCM(283/37, 364/9964) = 103012

LCM of 283/37, 364/9964

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 283/37,364/9964

Given numbers are 283/37,364/9964

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 283,364

Least Common Multiple of Numerators i.e. LCM of 283,364 is 103012.

GCF of Denominators means GCF of 37,9964 as per the given fractions.

GCF of 37,9964 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 283,364

LCM of Fractions 283/37,364/9964 is 103012

Given numbers has no common factors except 1. So, there LCM is their product i.e 103012

Least Common Multiple of 283,364 with GCF Formula

Least Common Multiple of 283,364 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 283,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(283,364) = 1

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

GCF(283,364) x common factors =1 x 1 = 1

LCM(283,364) = ( 283 × 364 ) / 1

LCM(283,364) = 103012 / 1

LCM(283,364) = 103012


Lets's calculate GCF of 37,9964

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103012/1

Therefore the LCM of Fractions 283/37,364/9964 is 103012

Greatest Common Factor of 37,9964 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,9964 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 9964

List of positive integer factors of 9964 that divides 9964 without a remainder.

1,2,4,47,53,94,106,188,212,2491,4982,9964

Greatest Common Factor

We found the factors 37,9964 . The biggest common factor number is the GCF number.
So the greatest common factor 37,9964 is 1.


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 283/37, 364/9964

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 283/37, 364/9964?

Answer: LCM of Numerators as per given numbers 283/37, 364/9964 is

LCM of Numerators i.e. for 283,364 is 103012

GCF of denominators i.e. for 37,9964 is 1.

Thus, LCM of Fractions is 103012.Finally, LCM of Fractions for 283/37, 364/9964 is 103012.