Least Common Multiple of 417/88, 393/41, 335/455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 417/88, 393/41, 335/455 quickly i.e. 18300045 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 417/88, 393/41, 335/455 is 18300045.

LCM(417/88, 393/41, 335/455) = 18300045

LCM of 417/88, 393/41, 335/455

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 417/88,393/41,335/455

Given numbers are 417/88,393/41,335/455

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 417,393,335

Least Common Multiple of Numerators i.e. LCM of 417,393,335 is 18300045.

GCF of Denominators means GCF of 88,41,455 as per the given fractions.

GCF of 88,41,455 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 417,393,335

LCM of Fractions 417/88,393/41,335/455 is 18300045

3 417, 393, 335
139, 131, 335

∴ So the LCM of the given numbers is 3 x 139 x 131 x 335 = 18300045

Least Common Multiple of 417,393,335 with GCF Formula

Least Common Multiple of 417,393,335 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 417,393,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(417,393,335) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(417,393,335) x common factors =1 x 3 = 3

LCM(417,393,335) = ( 417 × 393 × 335 ) / 3

LCM(417,393,335) = 54900135 / 3

LCM(417,393,335) = 18300045


Lets's calculate GCF of 88,41,455

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18300045/1

Therefore the LCM of Fractions 417/88,393/41,335/455 is 18300045

Greatest Common Factor of 88,41,455 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,41,455 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Greatest Common Factor

We found the factors 88,41,455 . The biggest common factor number is the GCF number.
So the greatest common factor 88,41,455 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 417/88, 393/41, 335/455

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 417/88, 393/41, 335/455?

Answer: LCM of Numerators as per given numbers 417/88, 393/41, 335/455 is

LCM of Numerators i.e. for 417,393,335 is 18300045

GCF of denominators i.e. for 88,41,455 is 1.

Thus, LCM of Fractions is 18300045.Finally, LCM of Fractions for 417/88, 393/41, 335/455 is 18300045.