Least Common Multiple of 389/827, 480/194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 389/827, 480/194 quickly i.e. 186720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 389/827, 480/194 is 186720.

LCM(389/827, 480/194) = 186720

LCM of 389/827, 480/194

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 389/827,480/194

Given numbers are 389/827,480/194

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 389,480

Least Common Multiple of Numerators i.e. LCM of 389,480 is 186720.

GCF of Denominators means GCF of 827,194 as per the given fractions.

GCF of 827,194 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 389,480

LCM of Fractions 389/827,480/194 is 186720

Given numbers has no common factors except 1. So, there LCM is their product i.e 186720

Least Common Multiple of 389,480 with GCF Formula

Least Common Multiple of 389,480 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 389,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(389,480) = 1

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

GCF(389,480) x common factors =1 x 1 = 1

LCM(389,480) = ( 389 × 480 ) / 1

LCM(389,480) = 186720 / 1

LCM(389,480) = 186720


Lets's calculate GCF of 827,194

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 186720/1

Therefore the LCM of Fractions 389/827,480/194 is 186720

Greatest Common Factor of 827,194 By Matching Biggest Common Factor Method

Greatest Common Factor of 827,194 By Matching Biggest Common Factor Method

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Greatest Common Factor

We found the factors 827,194 . The biggest common factor number is the GCF number.
So the greatest common factor 827,194 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 389/827, 480/194

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 389/827, 480/194?

Answer: LCM of Numerators as per given numbers 389/827, 480/194 is

LCM of Numerators i.e. for 389,480 is 186720

GCF of denominators i.e. for 827,194 is 1.

Thus, LCM of Fractions is 186720.Finally, LCM of Fractions for 389/827, 480/194 is 186720.