Least Common Multiple of 83/37, 14/44, 609/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/37, 14/44, 609/144 quickly i.e. 101094 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/37, 14/44, 609/144 is 101094.

LCM(83/37, 14/44, 609/144) = 101094

LCM of 83/37, 14/44, 609/144

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 83/37,14/44,609/144

Given numbers are 83/37,14/44,609/144

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 83,14,609

Least Common Multiple of Numerators i.e. LCM of 83,14,609 is 101094.

GCF of Denominators means GCF of 37,44,144 as per the given fractions.

GCF of 37,44,144 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,14,609

LCM of Fractions 83/37,14/44,609/144 is 101094

7 83, 14, 609
83, 2, 87

∴ So the LCM of the given numbers is 7 x 83 x 2 x 87 = 101094

Least Common Multiple of 83,14,609 with GCF Formula

Least Common Multiple of 83,14,609 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 83,14,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,14,609) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(83,14,609) x common factors =1 x 7 = 7

LCM(83,14,609) = ( 83 × 14 × 609 ) / 7

LCM(83,14,609) = 707658 / 7

LCM(83,14,609) = 101094


Lets's calculate GCF of 37,44,144

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101094/1

Therefore the LCM of Fractions 83/37,14/44,609/144 is 101094

Greatest Common Factor of 37,44,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,44,144 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 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 37,44,144 . The biggest common factor number is the GCF number.
So the greatest common factor 37,44,144 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 83/37, 14/44, 609/144

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 83/37, 14/44, 609/144?

Answer: LCM of Numerators as per given numbers 83/37, 14/44, 609/144 is

LCM of Numerators i.e. for 83,14,609 is 101094

GCF of denominators i.e. for 37,44,144 is 1.

Thus, LCM of Fractions is 101094.Finally, LCM of Fractions for 83/37, 14/44, 609/144 is 101094.