Least Common Multiple of 37/17, 42/34, 43/64, 84/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/17, 42/34, 43/64, 84/300 quickly i.e. 133644 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/17, 42/34, 43/64, 84/300 is 133644.

LCM(37/17, 42/34, 43/64, 84/300) = 133644

LCM of 37/17, 42/34, 43/64, 84/300

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 37/17,42/34,43/64,84/300

Given numbers are 37/17,42/34,43/64,84/300

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 37,42,43,84

Least Common Multiple of Numerators i.e. LCM of 37,42,43,84 is 133644.

GCF of Denominators means GCF of 17,34,64,300 as per the given fractions.

GCF of 17,34,64,300 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,42,43,84

LCM of Fractions 37/17,42/34,43/64,84/300 is 133644

2 37, 42, 43, 84
3 37, 21, 43, 42
7 37, 7, 43, 14
37, 1, 43, 2

∴ So the LCM of the given numbers is 2 x 3 x 7 x 37 x 1 x 43 x 2 = 133644

Least Common Multiple of 37,42,43,84 with GCF Formula

Least Common Multiple of 37,42,43,84 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 37,42,43,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,42,43,84) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(37,42,43,84) x common factors =1 x 42 = 42

LCM(37,42,43,84) = ( 37 × 42 × 43 × 84 ) / 42

LCM(37,42,43,84) = 5613048 / 42

LCM(37,42,43,84) = 133644


Lets's calculate GCF of 17,34,64,300

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 133644/1

Therefore the LCM of Fractions 37/17,42/34,43/64,84/300 is 133644

Greatest Common Factor of 17,34,64,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,34,64,300 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 17,34,64,300 . The biggest common factor number is the GCF number.
So the greatest common factor 17,34,64,300 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 37/17, 42/34, 43/64, 84/300

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 37/17, 42/34, 43/64, 84/300?

Answer: LCM of Numerators as per given numbers 37/17, 42/34, 43/64, 84/300 is

LCM of Numerators i.e. for 37,42,43,84 is 133644

GCF of denominators i.e. for 17,34,64,300 is 1.

Thus, LCM of Fractions is 133644.Finally, LCM of Fractions for 37/17, 42/34, 43/64, 84/300 is 133644.