Least Common Multiple of 20/442, 69/920, 750/950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/442, 69/920, 750/950 quickly i.e. 17250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/442, 69/920, 750/950 is 17250.

LCM(20/442, 69/920, 750/950) = 17250

LCM of 20/442, 69/920, 750/950

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 20/442,69/920,750/950

Given numbers are 20/442,69/920,750/950

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 20,69,750

Least Common Multiple of Numerators i.e. LCM of 20,69,750 is 34500.

GCF of Denominators means GCF of 442,920,950 as per the given fractions.

GCF of 442,920,950 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,69,750

LCM of Fractions 20/442,69/920,750/950 is 17250

2 20, 69, 750
3 10, 69, 375
5 10, 23, 125
2, 23, 25

∴ So the LCM of the given numbers is 2 x 3 x 5 x 2 x 23 x 25 = 34500

Least Common Multiple of 20,69,750 with GCF Formula

Least Common Multiple of 20,69,750 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 20,69,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,69,750) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(20,69,750) x common factors =1 x 30 = 30

LCM(20,69,750) = ( 20 × 69 × 750 ) / 30

LCM(20,69,750) = 1035000 / 30

LCM(20,69,750) = 34500


Lets's calculate GCF of 442,920,950

2 442, 920, 950
221, 460, 475

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34500/2

Therefore the LCM of Fractions 20/442,69/920,750/950 is 17250

Greatest Common Factor of 442,920,950 By Matching Biggest Common Factor Method

Greatest Common Factor of 442,920,950 By Matching Biggest Common Factor Method

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Greatest Common Factor

We found the factors 442,920,950 . The biggest common factor number is the GCF number.
So the greatest common factor 442,920,950 is 2.


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 20/442, 69/920, 750/950

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 20/442, 69/920, 750/950?

Answer: LCM of Numerators as per given numbers 20/442, 69/920, 750/950 is

LCM of Numerators i.e. for 20,69,750 is 34500

GCF of denominators i.e. for 442,920,950 is 2.

Thus, LCM of Fractions is 17250.Finally, LCM of Fractions for 20/442, 69/920, 750/950 is 17250.