Least Common Multiple of 86/855, 68/477, 474/657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/855, 68/477, 474/657 quickly i.e. 692988/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/855, 68/477, 474/657 is 692988/9.

LCM(86/855, 68/477, 474/657) = 692988/9

LCM of 86/855, 68/477, 474/657

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 86/855,68/477,474/657

Given numbers are 86/855,68/477,474/657

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 86,68,474

Least Common Multiple of Numerators i.e. LCM of 86,68,474 is 692988.

GCF of Denominators means GCF of 855,477,657 as per the given fractions.

GCF of 855,477,657 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,68,474

LCM of Fractions 86/855,68/477,474/657 is 692988/9

2 86, 68, 474
43, 34, 237

∴ So the LCM of the given numbers is 2 x 43 x 34 x 237 = 692988

Least Common Multiple of 86,68,474 with GCF Formula

Least Common Multiple of 86,68,474 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 86,68,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,68,474) = 2

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

GCF(86,68,474) x common factors =2 x 2 = 4

LCM(86,68,474) = ( 86 × 68 × 474 ) / 4

LCM(86,68,474) = 2771952 / 4

LCM(86,68,474) = 692988


Lets's calculate GCF of 855,477,657

3 855, 477, 657
3 285, 159, 219
95, 53, 73

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 692988/9

Therefore the LCM of Fractions 86/855,68/477,474/657 is 692988/9

Greatest Common Factor of 855,477,657 By Matching Biggest Common Factor Method

Greatest Common Factor of 855,477,657 By Matching Biggest Common Factor Method

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Greatest Common Factor

We found the factors 855,477,657 . The biggest common factor number is the GCF number.
So the greatest common factor 855,477,657 is 9.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 86/855, 68/477, 474/657

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 86/855, 68/477, 474/657?

Answer: LCM of Numerators as per given numbers 86/855, 68/477, 474/657 is

LCM of Numerators i.e. for 86,68,474 is 692988

GCF of denominators i.e. for 855,477,657 is 9.

Thus, LCM of Fractions is 692988/9.Finally, LCM of Fractions for 86/855, 68/477, 474/657 is 692988/9.