Least Common Multiple of 916/47, 729/46, 184/926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 916/47, 729/46, 184/926 quickly i.e. 30717144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 916/47, 729/46, 184/926 is 30717144.

LCM(916/47, 729/46, 184/926) = 30717144

LCM of 916/47, 729/46, 184/926

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 916/47,729/46,184/926

Given numbers are 916/47,729/46,184/926

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 916,729,184

Least Common Multiple of Numerators i.e. LCM of 916,729,184 is 30717144.

GCF of Denominators means GCF of 47,46,926 as per the given fractions.

GCF of 47,46,926 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 916,729,184

LCM of Fractions 916/47,729/46,184/926 is 30717144

2 916, 729, 184
2 458, 729, 92
229, 729, 46

∴ So the LCM of the given numbers is 2 x 2 x 229 x 729 x 46 = 30717144

Least Common Multiple of 916,729,184 with GCF Formula

Least Common Multiple of 916,729,184 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 916,729,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(916,729,184) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(916,729,184) x common factors =1 x 4 = 4

LCM(916,729,184) = ( 916 × 729 × 184 ) / 4

LCM(916,729,184) = 122868576 / 4

LCM(916,729,184) = 30717144


Lets's calculate GCF of 47,46,926

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30717144/1

Therefore the LCM of Fractions 916/47,729/46,184/926 is 30717144

Greatest Common Factor of 47,46,926 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,46,926 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Greatest Common Factor

We found the factors 47,46,926 . The biggest common factor number is the GCF number.
So the greatest common factor 47,46,926 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 916/47, 729/46, 184/926

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 916/47, 729/46, 184/926?

Answer: LCM of Numerators as per given numbers 916/47, 729/46, 184/926 is

LCM of Numerators i.e. for 916,729,184 is 30717144

GCF of denominators i.e. for 47,46,926 is 1.

Thus, LCM of Fractions is 30717144.Finally, LCM of Fractions for 916/47, 729/46, 184/926 is 30717144.