Least Common Multiple of 10/659, 159/589, 853/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 10/659, 159/589, 853/170 quickly i.e. 1356270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/659, 159/589, 853/170 is 1356270.

LCM(10/659, 159/589, 853/170) = 1356270

LCM of 10/659, 159/589, 853/170

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 10/659,159/589,853/170

Given numbers are 10/659,159/589,853/170

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 10,159,853

Least Common Multiple of Numerators i.e. LCM of 10,159,853 is 1356270.

GCF of Denominators means GCF of 659,589,170 as per the given fractions.

GCF of 659,589,170 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,159,853

LCM of Fractions 10/659,159/589,853/170 is 1356270

Given numbers has no common factors except 1. So, there LCM is their product i.e 1356270

Least Common Multiple of 10,159,853 with GCF Formula

Least Common Multiple of 10,159,853 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 10,159,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,159,853) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(10,159,853) x common factors =1 x 1 = 1

LCM(10,159,853) = ( 10 × 159 × 853 ) / 1

LCM(10,159,853) = 1356270 / 1

LCM(10,159,853) = 1356270


Lets's calculate GCF of 659,589,170

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1356270/1

Therefore the LCM of Fractions 10/659,159/589,853/170 is 1356270

Greatest Common Factor of 659,589,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 659,589,170 By Matching Biggest Common Factor Method

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Greatest Common Factor

We found the factors 659,589,170 . The biggest common factor number is the GCF number.
So the greatest common factor 659,589,170 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 10/659, 159/589, 853/170

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 10/659, 159/589, 853/170?

Answer: LCM of Numerators as per given numbers 10/659, 159/589, 853/170 is

LCM of Numerators i.e. for 10,159,853 is 1356270

GCF of denominators i.e. for 659,589,170 is 1.

Thus, LCM of Fractions is 1356270.Finally, LCM of Fractions for 10/659, 159/589, 853/170 is 1356270.