Least Common Multiple of 85/933, 28/291, 513/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 85/933, 28/291, 513/458 quickly i.e. 1220940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/933, 28/291, 513/458 is 1220940.

LCM(85/933, 28/291, 513/458) = 1220940

LCM of 85/933, 28/291, 513/458

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 85/933,28/291,513/458

Given numbers are 85/933,28/291,513/458

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 85,28,513

Least Common Multiple of Numerators i.e. LCM of 85,28,513 is 1220940.

GCF of Denominators means GCF of 933,291,458 as per the given fractions.

GCF of 933,291,458 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,28,513

LCM of Fractions 85/933,28/291,513/458 is 1220940

Given numbers has no common factors except 1. So, there LCM is their product i.e 1220940

Least Common Multiple of 85,28,513 with GCF Formula

Least Common Multiple of 85,28,513 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 85,28,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,28,513) = 1

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

GCF(85,28,513) x common factors =1 x 1 = 1

LCM(85,28,513) = ( 85 × 28 × 513 ) / 1

LCM(85,28,513) = 1220940 / 1

LCM(85,28,513) = 1220940


Lets's calculate GCF of 933,291,458

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1220940/1

Therefore the LCM of Fractions 85/933,28/291,513/458 is 1220940

Greatest Common Factor of 933,291,458 By Matching Biggest Common Factor Method

Greatest Common Factor of 933,291,458 By Matching Biggest Common Factor Method

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Greatest Common Factor

We found the factors 933,291,458 . The biggest common factor number is the GCF number.
So the greatest common factor 933,291,458 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 85/933, 28/291, 513/458

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 85/933, 28/291, 513/458?

Answer: LCM of Numerators as per given numbers 85/933, 28/291, 513/458 is

LCM of Numerators i.e. for 85,28,513 is 1220940

GCF of denominators i.e. for 933,291,458 is 1.

Thus, LCM of Fractions is 1220940.Finally, LCM of Fractions for 85/933, 28/291, 513/458 is 1220940.