Least Common Multiple of 83/314, 28/445, 793/325

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 83/314, 28/445, 793/325 quickly i.e. 1842932 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/314, 28/445, 793/325 is 1842932.

LCM(83/314, 28/445, 793/325) = 1842932

LCM of 83/314, 28/445, 793/325

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 83/314,28/445,793/325

Given numbers are 83/314,28/445,793/325

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 83,28,793

Least Common Multiple of Numerators i.e. LCM of 83,28,793 is 1842932.

GCF of Denominators means GCF of 314,445,325 as per the given fractions.

GCF of 314,445,325 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,28,793

LCM of Fractions 83/314,28/445,793/325 is 1842932

Given numbers has no common factors except 1. So, there LCM is their product i.e 1842932

Least Common Multiple of 83,28,793 with GCF Formula

Least Common Multiple of 83,28,793 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 83,28,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,28,793) = 1

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

GCF(83,28,793) x common factors =1 x 1 = 1

LCM(83,28,793) = ( 83 × 28 × 793 ) / 1

LCM(83,28,793) = 1842932 / 1

LCM(83,28,793) = 1842932


Lets's calculate GCF of 314,445,325

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1842932/1

Therefore the LCM of Fractions 83/314,28/445,793/325 is 1842932

Greatest Common Factor of 314,445,325 By Matching Biggest Common Factor Method

Greatest Common Factor of 314,445,325 By Matching Biggest Common Factor Method

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1,5,89,445

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Greatest Common Factor

We found the factors 314,445,325 . The biggest common factor number is the GCF number.
So the greatest common factor 314,445,325 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 83/314, 28/445, 793/325

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 83/314, 28/445, 793/325?

Answer: LCM of Numerators as per given numbers 83/314, 28/445, 793/325 is

LCM of Numerators i.e. for 83,28,793 is 1842932

GCF of denominators i.e. for 314,445,325 is 1.

Thus, LCM of Fractions is 1842932.Finally, LCM of Fractions for 83/314, 28/445, 793/325 is 1842932.