Least Common Multiple of 9935/80, 7075/587

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9935/80, 7075/587 quickly i.e. 14058025 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9935/80, 7075/587 is 14058025.

LCM(9935/80, 7075/587) = 14058025

LCM of 9935/80, 7075/587

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 9935/80,7075/587

Given numbers are 9935/80,7075/587

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 9935,7075

Least Common Multiple of Numerators i.e. LCM of 9935,7075 is 14058025.

GCF of Denominators means GCF of 80,587 as per the given fractions.

GCF of 80,587 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9935,7075

LCM of Fractions 9935/80,7075/587 is 14058025

5 9935, 7075
1987, 1415

∴ So the LCM of the given numbers is 5 x 1987 x 1415 = 14058025

Least Common Multiple of 9935,7075 with GCF Formula

Least Common Multiple of 9935,7075 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 9935,7075 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9935,7075) = 5

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

GCF(9935,7075) x common factors =5 x 1 = 5

LCM(9935,7075) = ( 9935 × 7075 ) / 5

LCM(9935,7075) = 70290125 / 5

LCM(9935,7075) = 14058025


Lets's calculate GCF of 80,587

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14058025/1

Therefore the LCM of Fractions 9935/80,7075/587 is 14058025

Greatest Common Factor of 80,587 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,587 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1,587

Greatest Common Factor

We found the factors 80,587 . The biggest common factor number is the GCF number.
So the greatest common factor 80,587 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9935/80, 7075/587

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 9935/80, 7075/587?

Answer: LCM of Numerators as per given numbers 9935/80, 7075/587 is

LCM of Numerators i.e. for 9935,7075 is 14058025

GCF of denominators i.e. for 80,587 is 1.

Thus, LCM of Fractions is 14058025.Finally, LCM of Fractions for 9935/80, 7075/587 is 14058025.