Least Common Multiple of 37/664, 24/555, 689/429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/664, 24/555, 689/429 quickly i.e. 611832 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/664, 24/555, 689/429 is 611832.

LCM(37/664, 24/555, 689/429) = 611832

LCM of 37/664, 24/555, 689/429

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 37/664,24/555,689/429

Given numbers are 37/664,24/555,689/429

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 37,24,689

Least Common Multiple of Numerators i.e. LCM of 37,24,689 is 611832.

GCF of Denominators means GCF of 664,555,429 as per the given fractions.

GCF of 664,555,429 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,24,689

LCM of Fractions 37/664,24/555,689/429 is 611832

Given numbers has no common factors except 1. So, there LCM is their product i.e 611832

Least Common Multiple of 37,24,689 with GCF Formula

Least Common Multiple of 37,24,689 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 37,24,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,24,689) = 1

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

GCF(37,24,689) x common factors =1 x 1 = 1

LCM(37,24,689) = ( 37 × 24 × 689 ) / 1

LCM(37,24,689) = 611832 / 1

LCM(37,24,689) = 611832


Lets's calculate GCF of 664,555,429

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 611832/1

Therefore the LCM of Fractions 37/664,24/555,689/429 is 611832

Greatest Common Factor of 664,555,429 By Matching Biggest Common Factor Method

Greatest Common Factor of 664,555,429 By Matching Biggest Common Factor Method

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Greatest Common Factor

We found the factors 664,555,429 . The biggest common factor number is the GCF number.
So the greatest common factor 664,555,429 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 37/664, 24/555, 689/429

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 37/664, 24/555, 689/429?

Answer: LCM of Numerators as per given numbers 37/664, 24/555, 689/429 is

LCM of Numerators i.e. for 37,24,689 is 611832

GCF of denominators i.e. for 664,555,429 is 1.

Thus, LCM of Fractions is 611832.Finally, LCM of Fractions for 37/664, 24/555, 689/429 is 611832.