Least Common Multiple of 483/520, 266/205, 608/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 483/520, 266/205, 608/274 quickly i.e. 293664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 483/520, 266/205, 608/274 is 293664.

LCM(483/520, 266/205, 608/274) = 293664

LCM of 483/520, 266/205, 608/274

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 483/520,266/205,608/274

Given numbers are 483/520,266/205,608/274

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 483,266,608

Least Common Multiple of Numerators i.e. LCM of 483,266,608 is 293664.

GCF of Denominators means GCF of 520,205,274 as per the given fractions.

GCF of 520,205,274 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 483,266,608

LCM of Fractions 483/520,266/205,608/274 is 293664

2 483, 266, 608
7 483, 133, 304
19 69, 19, 304
69, 1, 16

∴ So the LCM of the given numbers is 2 x 7 x 19 x 69 x 1 x 16 = 293664

Least Common Multiple of 483,266,608 with GCF Formula

Least Common Multiple of 483,266,608 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 483,266,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(483,266,608) = 1

common factors(in case of two or more numbers have common factors) = 266

GCF(483,266,608) x common factors =1 x 266 = 266

LCM(483,266,608) = ( 483 × 266 × 608 ) / 266

LCM(483,266,608) = 78114624 / 266

LCM(483,266,608) = 293664


Lets's calculate GCF of 520,205,274

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 293664/1

Therefore the LCM of Fractions 483/520,266/205,608/274 is 293664

Greatest Common Factor of 520,205,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 520,205,274 By Matching Biggest Common Factor Method

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Greatest Common Factor

We found the factors 520,205,274 . The biggest common factor number is the GCF number.
So the greatest common factor 520,205,274 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 483/520, 266/205, 608/274

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 483/520, 266/205, 608/274?

Answer: LCM of Numerators as per given numbers 483/520, 266/205, 608/274 is

LCM of Numerators i.e. for 483,266,608 is 293664

GCF of denominators i.e. for 520,205,274 is 1.

Thus, LCM of Fractions is 293664.Finally, LCM of Fractions for 483/520, 266/205, 608/274 is 293664.