Least Common Multiple of 461/72, 236/90, 417/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 461/72, 236/90, 417/105 quickly i.e. 15122644 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 461/72, 236/90, 417/105 is 15122644.

LCM(461/72, 236/90, 417/105) = 15122644

LCM of 461/72, 236/90, 417/105

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 461/72,236/90,417/105

Given numbers are 461/72,236/90,417/105

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 461,236,417

Least Common Multiple of Numerators i.e. LCM of 461,236,417 is 45367932.

GCF of Denominators means GCF of 72,90,105 as per the given fractions.

GCF of 72,90,105 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 461,236,417

LCM of Fractions 461/72,236/90,417/105 is 15122644

Given numbers has no common factors except 1. So, there LCM is their product i.e 45367932

Least Common Multiple of 461,236,417 with GCF Formula

Least Common Multiple of 461,236,417 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 461,236,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(461,236,417) = 1

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

GCF(461,236,417) x common factors =1 x 1 = 1

LCM(461,236,417) = ( 461 × 236 × 417 ) / 1

LCM(461,236,417) = 45367932 / 1

LCM(461,236,417) = 45367932


Lets's calculate GCF of 72,90,105

3 72, 90, 105
24, 30, 35

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45367932/3

Therefore the LCM of Fractions 461/72,236/90,417/105 is 15122644

Greatest Common Factor of 72,90,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,90,105 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

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 105

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

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

Greatest Common Factor

We found the factors 72,90,105 . The biggest common factor number is the GCF number.
So the greatest common factor 72,90,105 is 3.


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 461/72, 236/90, 417/105

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 461/72, 236/90, 417/105?

Answer: LCM of Numerators as per given numbers 461/72, 236/90, 417/105 is

LCM of Numerators i.e. for 461,236,417 is 45367932

GCF of denominators i.e. for 72,90,105 is 3.

Thus, LCM of Fractions is 15122644.Finally, LCM of Fractions for 461/72, 236/90, 417/105 is 15122644.