Least Common Multiple of 73/404, 489/799, 671/941

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 73/404, 489/799, 671/941 quickly i.e. 23952687 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/404, 489/799, 671/941 is 23952687.

LCM(73/404, 489/799, 671/941) = 23952687

LCM of 73/404, 489/799, 671/941

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 73/404,489/799,671/941

Given numbers are 73/404,489/799,671/941

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 73,489,671

Least Common Multiple of Numerators i.e. LCM of 73,489,671 is 23952687.

GCF of Denominators means GCF of 404,799,941 as per the given fractions.

GCF of 404,799,941 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,489,671

LCM of Fractions 73/404,489/799,671/941 is 23952687

Given numbers has no common factors except 1. So, there LCM is their product i.e 23952687

Least Common Multiple of 73,489,671 with GCF Formula

Least Common Multiple of 73,489,671 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 73,489,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,489,671) = 1

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

GCF(73,489,671) x common factors =1 x 1 = 1

LCM(73,489,671) = ( 73 × 489 × 671 ) / 1

LCM(73,489,671) = 23952687 / 1

LCM(73,489,671) = 23952687


Lets's calculate GCF of 404,799,941

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23952687/1

Therefore the LCM of Fractions 73/404,489/799,671/941 is 23952687

Greatest Common Factor of 404,799,941 By Matching Biggest Common Factor Method

Greatest Common Factor of 404,799,941 By Matching Biggest Common Factor Method

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Factors of 799

List of positive integer factors of 799 that divides 799 without a remainder.

1,17,47,799

Factors of 941

List of positive integer factors of 941 that divides 941 without a remainder.

1,941

Greatest Common Factor

We found the factors 404,799,941 . The biggest common factor number is the GCF number.
So the greatest common factor 404,799,941 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 73/404, 489/799, 671/941

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 73/404, 489/799, 671/941?

Answer: LCM of Numerators as per given numbers 73/404, 489/799, 671/941 is

LCM of Numerators i.e. for 73,489,671 is 23952687

GCF of denominators i.e. for 404,799,941 is 1.

Thus, LCM of Fractions is 23952687.Finally, LCM of Fractions for 73/404, 489/799, 671/941 is 23952687.