Least Common Multiple of 859/20, 700/92, 713/10

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 859/20, 700/92, 713/10 quickly i.e. 214363450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 859/20, 700/92, 713/10 is 214363450.

LCM(859/20, 700/92, 713/10) = 214363450

LCM of 859/20, 700/92, 713/10

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 859/20,700/92,713/10

Given numbers are 859/20,700/92,713/10

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 859,700,713

Least Common Multiple of Numerators i.e. LCM of 859,700,713 is 428726900.

GCF of Denominators means GCF of 20,92,10 as per the given fractions.

GCF of 20,92,10 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 859,700,713

LCM of Fractions 859/20,700/92,713/10 is 214363450

Given numbers has no common factors except 1. So, there LCM is their product i.e 428726900

Least Common Multiple of 859,700,713 with GCF Formula

Least Common Multiple of 859,700,713 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 859,700,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(859,700,713) = 1

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

GCF(859,700,713) x common factors =1 x 1 = 1

LCM(859,700,713) = ( 859 × 700 × 713 ) / 1

LCM(859,700,713) = 428726900 / 1

LCM(859,700,713) = 428726900


Lets's calculate GCF of 20,92,10

2 20, 92, 10
10, 46, 5

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 428726900/2

Therefore the LCM of Fractions 859/20,700/92,713/10 is 214363450

Greatest Common Factor of 20,92,10 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,92,10 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Greatest Common Factor

We found the factors 20,92,10 . The biggest common factor number is the GCF number.
So the greatest common factor 20,92,10 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 859/20, 700/92, 713/10

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 859/20, 700/92, 713/10?

Answer: LCM of Numerators as per given numbers 859/20, 700/92, 713/10 is

LCM of Numerators i.e. for 859,700,713 is 428726900

GCF of denominators i.e. for 20,92,10 is 2.

Thus, LCM of Fractions is 214363450.Finally, LCM of Fractions for 859/20, 700/92, 713/10 is 214363450.