Least Common Multiple of 85/943, 590/673, 914/989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/943, 590/673, 914/989 quickly i.e. 4583710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/943, 590/673, 914/989 is 4583710.

LCM(85/943, 590/673, 914/989) = 4583710

LCM of 85/943, 590/673, 914/989

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 85/943,590/673,914/989

Given numbers are 85/943,590/673,914/989

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 85,590,914

Least Common Multiple of Numerators i.e. LCM of 85,590,914 is 4583710.

GCF of Denominators means GCF of 943,673,989 as per the given fractions.

GCF of 943,673,989 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,590,914

LCM of Fractions 85/943,590/673,914/989 is 4583710

2 85, 590, 914
5 85, 295, 457
17, 59, 457

∴ So the LCM of the given numbers is 2 x 5 x 17 x 59 x 457 = 4583710

Least Common Multiple of 85,590,914 with GCF Formula

Least Common Multiple of 85,590,914 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 85,590,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,590,914) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(85,590,914) x common factors =1 x 10 = 10

LCM(85,590,914) = ( 85 × 590 × 914 ) / 10

LCM(85,590,914) = 45837100 / 10

LCM(85,590,914) = 4583710


Lets's calculate GCF of 943,673,989

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4583710/1

Therefore the LCM of Fractions 85/943,590/673,914/989 is 4583710

Greatest Common Factor of 943,673,989 By Matching Biggest Common Factor Method

Greatest Common Factor of 943,673,989 By Matching Biggest Common Factor Method

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1,23,41,943

Factors of 673

List of positive integer factors of 673 that divides 673 without a remainder.

1,673

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Greatest Common Factor

We found the factors 943,673,989 . The biggest common factor number is the GCF number.
So the greatest common factor 943,673,989 is 1.


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 85/943, 590/673, 914/989

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 85/943, 590/673, 914/989?

Answer: LCM of Numerators as per given numbers 85/943, 590/673, 914/989 is

LCM of Numerators i.e. for 85,590,914 is 4583710

GCF of denominators i.e. for 943,673,989 is 1.

Thus, LCM of Fractions is 4583710.Finally, LCM of Fractions for 85/943, 590/673, 914/989 is 4583710.