Least Common Multiple of 417/22, 141/3744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 417/22, 141/3744 quickly i.e. 19599/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 417/22, 141/3744 is 19599/2.

LCM(417/22, 141/3744) = 19599/2

LCM of 417/22, 141/3744

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 417/22,141/3744

Given numbers are 417/22,141/3744

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 417,141

Least Common Multiple of Numerators i.e. LCM of 417,141 is 19599.

GCF of Denominators means GCF of 22,3744 as per the given fractions.

GCF of 22,3744 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 417,141

LCM of Fractions 417/22,141/3744 is 19599/2

3 417, 141
139, 47

∴ So the LCM of the given numbers is 3 x 139 x 47 = 19599

Least Common Multiple of 417,141 with GCF Formula

Least Common Multiple of 417,141 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 417,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(417,141) = 3

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

GCF(417,141) x common factors =3 x 1 = 3

LCM(417,141) = ( 417 × 141 ) / 3

LCM(417,141) = 58797 / 3

LCM(417,141) = 19599


Lets's calculate GCF of 22,3744

2 22, 3744
11, 1872

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19599/2

Therefore the LCM of Fractions 417/22,141/3744 is 19599/2

Greatest Common Factor of 22,3744 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,3744 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 3744

List of positive integer factors of 3744 that divides 3744 without a remainder.

1,2,3,4,6,8,9,12,13,16,18,24,26,32,36,39,48,52,72,78,96,104,117,144,156,208,234,288,312,416,468,624,936,1248,1872,3744

Greatest Common Factor

We found the factors 22,3744 . The biggest common factor number is the GCF number.
So the greatest common factor 22,3744 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 417/22, 141/3744

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 417/22, 141/3744?

Answer: LCM of Numerators as per given numbers 417/22, 141/3744 is

LCM of Numerators i.e. for 417,141 is 19599

GCF of denominators i.e. for 22,3744 is 2.

Thus, LCM of Fractions is 19599/2.Finally, LCM of Fractions for 417/22, 141/3744 is 19599/2.