Least Common Multiple of 859/85, 476/49, 899/789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 859/85, 476/49, 899/789 quickly i.e. 367586716 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 859/85, 476/49, 899/789 is 367586716.

LCM(859/85, 476/49, 899/789) = 367586716

LCM of 859/85, 476/49, 899/789

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 859/85,476/49,899/789

Given numbers are 859/85,476/49,899/789

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 859,476,899

Least Common Multiple of Numerators i.e. LCM of 859,476,899 is 367586716.

GCF of Denominators means GCF of 85,49,789 as per the given fractions.

GCF of 85,49,789 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 859,476,899

LCM of Fractions 859/85,476/49,899/789 is 367586716

Given numbers has no common factors except 1. So, there LCM is their product i.e 367586716

Least Common Multiple of 859,476,899 with GCF Formula

Least Common Multiple of 859,476,899 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 859,476,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(859,476,899) = 1

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

GCF(859,476,899) x common factors =1 x 1 = 1

LCM(859,476,899) = ( 859 × 476 × 899 ) / 1

LCM(859,476,899) = 367586716 / 1

LCM(859,476,899) = 367586716


Lets's calculate GCF of 85,49,789

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 367586716/1

Therefore the LCM of Fractions 859/85,476/49,899/789 is 367586716

Greatest Common Factor of 85,49,789 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,49,789 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Greatest Common Factor

We found the factors 85,49,789 . The biggest common factor number is the GCF number.
So the greatest common factor 85,49,789 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 859/85, 476/49, 899/789

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 859/85, 476/49, 899/789?

Answer: LCM of Numerators as per given numbers 859/85, 476/49, 899/789 is

LCM of Numerators i.e. for 859,476,899 is 367586716

GCF of denominators i.e. for 85,49,789 is 1.

Thus, LCM of Fractions is 367586716.Finally, LCM of Fractions for 859/85, 476/49, 899/789 is 367586716.