Least Common Multiple of 485/85, 916/33, 246/329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 485/85, 916/33, 246/329 quickly i.e. 54643980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 485/85, 916/33, 246/329 is 54643980.

LCM(485/85, 916/33, 246/329) = 54643980

LCM of 485/85, 916/33, 246/329

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 485/85,916/33,246/329

Given numbers are 485/85,916/33,246/329

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 485,916,246

Least Common Multiple of Numerators i.e. LCM of 485,916,246 is 54643980.

GCF of Denominators means GCF of 85,33,329 as per the given fractions.

GCF of 85,33,329 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 485,916,246

LCM of Fractions 485/85,916/33,246/329 is 54643980

2 485, 916, 246
485, 458, 123

∴ So the LCM of the given numbers is 2 x 485 x 458 x 123 = 54643980

Least Common Multiple of 485,916,246 with GCF Formula

Least Common Multiple of 485,916,246 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 485,916,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(485,916,246) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(485,916,246) x common factors =1 x 2 = 2

LCM(485,916,246) = ( 485 × 916 × 246 ) / 2

LCM(485,916,246) = 109287960 / 2

LCM(485,916,246) = 54643980


Lets's calculate GCF of 85,33,329

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54643980/1

Therefore the LCM of Fractions 485/85,916/33,246/329 is 54643980

Greatest Common Factor of 85,33,329 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,33,329 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Greatest Common Factor

We found the factors 85,33,329 . The biggest common factor number is the GCF number.
So the greatest common factor 85,33,329 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 485/85, 916/33, 246/329

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 485/85, 916/33, 246/329?

Answer: LCM of Numerators as per given numbers 485/85, 916/33, 246/329 is

LCM of Numerators i.e. for 485,916,246 is 54643980

GCF of denominators i.e. for 85,33,329 is 1.

Thus, LCM of Fractions is 54643980.Finally, LCM of Fractions for 485/85, 916/33, 246/329 is 54643980.