Least Common Multiple of 17/90, 42/70, 50/58, 40/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/90, 42/70, 50/58, 40/172 quickly i.e. 35700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/90, 42/70, 50/58, 40/172 is 35700.

LCM(17/90, 42/70, 50/58, 40/172) = 35700

LCM of 17/90, 42/70, 50/58, 40/172

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 17/90,42/70,50/58,40/172

Given numbers are 17/90,42/70,50/58,40/172

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 17,42,50,40

Least Common Multiple of Numerators i.e. LCM of 17,42,50,40 is 71400.

GCF of Denominators means GCF of 90,70,58,172 as per the given fractions.

GCF of 90,70,58,172 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,42,50,40

LCM of Fractions 17/90,42/70,50/58,40/172 is 35700

2 17, 42, 50, 40
5 17, 21, 25, 20
17, 21, 5, 4

∴ So the LCM of the given numbers is 2 x 5 x 17 x 21 x 5 x 4 = 71400

Least Common Multiple of 17,42,50,40 with GCF Formula

Least Common Multiple of 17,42,50,40 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 17,42,50,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,42,50,40) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(17,42,50,40) x common factors =1 x 20 = 20

LCM(17,42,50,40) = ( 17 × 42 × 50 × 40 ) / 20

LCM(17,42,50,40) = 1428000 / 20

LCM(17,42,50,40) = 71400


Lets's calculate GCF of 90,70,58,172

2 90, 70, 58, 172
45, 35, 29, 86

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71400/2

Therefore the LCM of Fractions 17/90,42/70,50/58,40/172 is 35700

Greatest Common Factor of 90,70,58,172 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,70,58,172 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Greatest Common Factor

We found the factors 90,70,58,172 . The biggest common factor number is the GCF number.
So the greatest common factor 90,70,58,172 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 17/90, 42/70, 50/58, 40/172

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 17/90, 42/70, 50/58, 40/172?

Answer: LCM of Numerators as per given numbers 17/90, 42/70, 50/58, 40/172 is

LCM of Numerators i.e. for 17,42,50,40 is 71400

GCF of denominators i.e. for 90,70,58,172 is 2.

Thus, LCM of Fractions is 35700.Finally, LCM of Fractions for 17/90, 42/70, 50/58, 40/172 is 35700.