Least Common Multiple of 90/105, 12/723, 668/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/105, 12/723, 668/170 quickly i.e. 30060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/105, 12/723, 668/170 is 30060.

LCM(90/105, 12/723, 668/170) = 30060

LCM of 90/105, 12/723, 668/170

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 90/105,12/723,668/170

Given numbers are 90/105,12/723,668/170

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 90,12,668

Least Common Multiple of Numerators i.e. LCM of 90,12,668 is 30060.

GCF of Denominators means GCF of 105,723,170 as per the given fractions.

GCF of 105,723,170 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,12,668

LCM of Fractions 90/105,12/723,668/170 is 30060

2 90, 12, 668
2 45, 6, 334
3 45, 3, 167
15, 1, 167

∴ So the LCM of the given numbers is 2 x 2 x 3 x 15 x 1 x 167 = 30060

Least Common Multiple of 90,12,668 with GCF Formula

Least Common Multiple of 90,12,668 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 90,12,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,12,668) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(90,12,668) x common factors =2 x 12 = 24

LCM(90,12,668) = ( 90 × 12 × 668 ) / 24

LCM(90,12,668) = 721440 / 24

LCM(90,12,668) = 30060


Lets's calculate GCF of 105,723,170

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30060/1

Therefore the LCM of Fractions 90/105,12/723,668/170 is 30060

Greatest Common Factor of 105,723,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 105,723,170 By Matching Biggest Common Factor Method

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Greatest Common Factor

We found the factors 105,723,170 . The biggest common factor number is the GCF number.
So the greatest common factor 105,723,170 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 90/105, 12/723, 668/170

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 90/105, 12/723, 668/170?

Answer: LCM of Numerators as per given numbers 90/105, 12/723, 668/170 is

LCM of Numerators i.e. for 90,12,668 is 30060

GCF of denominators i.e. for 105,723,170 is 1.

Thus, LCM of Fractions is 30060.Finally, LCM of Fractions for 90/105, 12/723, 668/170 is 30060.