Least Common Multiple of 583/958, 135/844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 583/958, 135/844 quickly i.e. 78705/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 583/958, 135/844 is 78705/2.

LCM(583/958, 135/844) = 78705/2

LCM of 583/958, 135/844

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 583/958,135/844

Given numbers are 583/958,135/844

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 583,135

Least Common Multiple of Numerators i.e. LCM of 583,135 is 78705.

GCF of Denominators means GCF of 958,844 as per the given fractions.

GCF of 958,844 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 583,135

LCM of Fractions 583/958,135/844 is 78705/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 78705

Least Common Multiple of 583,135 with GCF Formula

Least Common Multiple of 583,135 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 583,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(583,135) = 1

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

GCF(583,135) x common factors =1 x 1 = 1

LCM(583,135) = ( 583 × 135 ) / 1

LCM(583,135) = 78705 / 1

LCM(583,135) = 78705


Lets's calculate GCF of 958,844

2 958, 844
479, 422

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78705/2

Therefore the LCM of Fractions 583/958,135/844 is 78705/2

Greatest Common Factor of 958,844 By Matching Biggest Common Factor Method

Greatest Common Factor of 958,844 By Matching Biggest Common Factor Method

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Greatest Common Factor

We found the factors 958,844 . The biggest common factor number is the GCF number.
So the greatest common factor 958,844 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 583/958, 135/844

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 583/958, 135/844?

Answer: LCM of Numerators as per given numbers 583/958, 135/844 is

LCM of Numerators i.e. for 583,135 is 78705

GCF of denominators i.e. for 958,844 is 2.

Thus, LCM of Fractions is 78705/2.Finally, LCM of Fractions for 583/958, 135/844 is 78705/2.