Least Common Multiple of 21/601, 142/750, 259/899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/601, 142/750, 259/899 quickly i.e. 110334 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/601, 142/750, 259/899 is 110334.

LCM(21/601, 142/750, 259/899) = 110334

LCM of 21/601, 142/750, 259/899

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 21/601,142/750,259/899

Given numbers are 21/601,142/750,259/899

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 21,142,259

Least Common Multiple of Numerators i.e. LCM of 21,142,259 is 110334.

GCF of Denominators means GCF of 601,750,899 as per the given fractions.

GCF of 601,750,899 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,142,259

LCM of Fractions 21/601,142/750,259/899 is 110334

7 21, 142, 259
3, 142, 37

∴ So the LCM of the given numbers is 7 x 3 x 142 x 37 = 110334

Least Common Multiple of 21,142,259 with GCF Formula

Least Common Multiple of 21,142,259 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 21,142,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,142,259) = 1

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

GCF(21,142,259) x common factors =1 x 7 = 7

LCM(21,142,259) = ( 21 × 142 × 259 ) / 7

LCM(21,142,259) = 772338 / 7

LCM(21,142,259) = 110334


Lets's calculate GCF of 601,750,899

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 110334/1

Therefore the LCM of Fractions 21/601,142/750,259/899 is 110334

Greatest Common Factor of 601,750,899 By Matching Biggest Common Factor Method

Greatest Common Factor of 601,750,899 By Matching Biggest Common Factor Method

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1,601

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Greatest Common Factor

We found the factors 601,750,899 . The biggest common factor number is the GCF number.
So the greatest common factor 601,750,899 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 21/601, 142/750, 259/899

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 21/601, 142/750, 259/899?

Answer: LCM of Numerators as per given numbers 21/601, 142/750, 259/899 is

LCM of Numerators i.e. for 21,142,259 is 110334

GCF of denominators i.e. for 601,750,899 is 1.

Thus, LCM of Fractions is 110334.Finally, LCM of Fractions for 21/601, 142/750, 259/899 is 110334.