Least Common Multiple of 10/320, 299/860, 285/985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/320, 299/860, 285/985 quickly i.e. 34086 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/320, 299/860, 285/985 is 34086.

LCM(10/320, 299/860, 285/985) = 34086

LCM of 10/320, 299/860, 285/985

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 10/320,299/860,285/985

Given numbers are 10/320,299/860,285/985

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 10,299,285

Least Common Multiple of Numerators i.e. LCM of 10,299,285 is 170430.

GCF of Denominators means GCF of 320,860,985 as per the given fractions.

GCF of 320,860,985 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,299,285

LCM of Fractions 10/320,299/860,285/985 is 34086

5 10, 299, 285
2, 299, 57

∴ So the LCM of the given numbers is 5 x 2 x 299 x 57 = 170430

Least Common Multiple of 10,299,285 with GCF Formula

Least Common Multiple of 10,299,285 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 10,299,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,299,285) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(10,299,285) x common factors =1 x 5 = 5

LCM(10,299,285) = ( 10 × 299 × 285 ) / 5

LCM(10,299,285) = 852150 / 5

LCM(10,299,285) = 170430


Lets's calculate GCF of 320,860,985

5 320, 860, 985
64, 172, 197

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 170430/5

Therefore the LCM of Fractions 10/320,299/860,285/985 is 34086

Greatest Common Factor of 320,860,985 By Matching Biggest Common Factor Method

Greatest Common Factor of 320,860,985 By Matching Biggest Common Factor Method

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Greatest Common Factor

We found the factors 320,860,985 . The biggest common factor number is the GCF number.
So the greatest common factor 320,860,985 is 5.


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 10/320, 299/860, 285/985

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 10/320, 299/860, 285/985?

Answer: LCM of Numerators as per given numbers 10/320, 299/860, 285/985 is

LCM of Numerators i.e. for 10,299,285 is 170430

GCF of denominators i.e. for 320,860,985 is 5.

Thus, LCM of Fractions is 34086.Finally, LCM of Fractions for 10/320, 299/860, 285/985 is 34086.