Least Common Multiple of 45/488, 166/383, 885/623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/488, 166/383, 885/623 quickly i.e. 440730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/488, 166/383, 885/623 is 440730.

LCM(45/488, 166/383, 885/623) = 440730

LCM of 45/488, 166/383, 885/623

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 45/488,166/383,885/623

Given numbers are 45/488,166/383,885/623

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 45,166,885

Least Common Multiple of Numerators i.e. LCM of 45,166,885 is 440730.

GCF of Denominators means GCF of 488,383,623 as per the given fractions.

GCF of 488,383,623 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,166,885

LCM of Fractions 45/488,166/383,885/623 is 440730

3 45, 166, 885
5 15, 166, 295
3, 166, 59

∴ So the LCM of the given numbers is 3 x 5 x 3 x 166 x 59 = 440730

Least Common Multiple of 45,166,885 with GCF Formula

Least Common Multiple of 45,166,885 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 45,166,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,166,885) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(45,166,885) x common factors =1 x 15 = 15

LCM(45,166,885) = ( 45 × 166 × 885 ) / 15

LCM(45,166,885) = 6610950 / 15

LCM(45,166,885) = 440730


Lets's calculate GCF of 488,383,623

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 440730/1

Therefore the LCM of Fractions 45/488,166/383,885/623 is 440730

Greatest Common Factor of 488,383,623 By Matching Biggest Common Factor Method

Greatest Common Factor of 488,383,623 By Matching Biggest Common Factor Method

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Greatest Common Factor

We found the factors 488,383,623 . The biggest common factor number is the GCF number.
So the greatest common factor 488,383,623 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 45/488, 166/383, 885/623

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 45/488, 166/383, 885/623?

Answer: LCM of Numerators as per given numbers 45/488, 166/383, 885/623 is

LCM of Numerators i.e. for 45,166,885 is 440730

GCF of denominators i.e. for 488,383,623 is 1.

Thus, LCM of Fractions is 440730.Finally, LCM of Fractions for 45/488, 166/383, 885/623 is 440730.