Least Common Multiple of 855/474, 261/487, 258/833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 855/474, 261/487, 258/833 quickly i.e. 2132370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 855/474, 261/487, 258/833 is 2132370.

LCM(855/474, 261/487, 258/833) = 2132370

LCM of 855/474, 261/487, 258/833

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 855/474,261/487,258/833

Given numbers are 855/474,261/487,258/833

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 855,261,258

Least Common Multiple of Numerators i.e. LCM of 855,261,258 is 2132370.

GCF of Denominators means GCF of 474,487,833 as per the given fractions.

GCF of 474,487,833 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 855,261,258

LCM of Fractions 855/474,261/487,258/833 is 2132370

3 855, 261, 258
3 285, 87, 86
95, 29, 86

∴ So the LCM of the given numbers is 3 x 3 x 95 x 29 x 86 = 2132370

Least Common Multiple of 855,261,258 with GCF Formula

Least Common Multiple of 855,261,258 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 855,261,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(855,261,258) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(855,261,258) x common factors =3 x 9 = 27

LCM(855,261,258) = ( 855 × 261 × 258 ) / 27

LCM(855,261,258) = 57573990 / 27

LCM(855,261,258) = 2132370


Lets's calculate GCF of 474,487,833

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2132370/1

Therefore the LCM of Fractions 855/474,261/487,258/833 is 2132370

Greatest Common Factor of 474,487,833 By Matching Biggest Common Factor Method

Greatest Common Factor of 474,487,833 By Matching Biggest Common Factor Method

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Factors of 833

List of positive integer factors of 833 that divides 833 without a remainder.

1,7,17,49,119,833

Greatest Common Factor

We found the factors 474,487,833 . The biggest common factor number is the GCF number.
So the greatest common factor 474,487,833 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 855/474, 261/487, 258/833

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 855/474, 261/487, 258/833?

Answer: LCM of Numerators as per given numbers 855/474, 261/487, 258/833 is

LCM of Numerators i.e. for 855,261,258 is 2132370

GCF of denominators i.e. for 474,487,833 is 1.

Thus, LCM of Fractions is 2132370.Finally, LCM of Fractions for 855/474, 261/487, 258/833 is 2132370.