Least Common Multiple of 385/581, 5870/9987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 385/581, 5870/9987 quickly i.e. 451990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 385/581, 5870/9987 is 451990.

LCM(385/581, 5870/9987) = 451990

LCM of 385/581, 5870/9987

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 385/581,5870/9987

Given numbers are 385/581,5870/9987

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 385,5870

Least Common Multiple of Numerators i.e. LCM of 385,5870 is 451990.

GCF of Denominators means GCF of 581,9987 as per the given fractions.

GCF of 581,9987 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 385,5870

LCM of Fractions 385/581,5870/9987 is 451990

5 385, 5870
77, 1174

∴ So the LCM of the given numbers is 5 x 77 x 1174 = 451990

Least Common Multiple of 385,5870 with GCF Formula

Least Common Multiple of 385,5870 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 385,5870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(385,5870) = 5

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

GCF(385,5870) x common factors =5 x 1 = 5

LCM(385,5870) = ( 385 × 5870 ) / 5

LCM(385,5870) = 2259950 / 5

LCM(385,5870) = 451990


Lets's calculate GCF of 581,9987

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 451990/1

Therefore the LCM of Fractions 385/581,5870/9987 is 451990

Greatest Common Factor of 581,9987 By Matching Biggest Common Factor Method

Greatest Common Factor of 581,9987 By Matching Biggest Common Factor Method

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

Factors of 9987

List of positive integer factors of 9987 that divides 9987 without a remainder.

1,3,3329,9987

Greatest Common Factor

We found the factors 581,9987 . The biggest common factor number is the GCF number.
So the greatest common factor 581,9987 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 385/581, 5870/9987

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 385/581, 5870/9987?

Answer: LCM of Numerators as per given numbers 385/581, 5870/9987 is

LCM of Numerators i.e. for 385,5870 is 451990

GCF of denominators i.e. for 581,9987 is 1.

Thus, LCM of Fractions is 451990.Finally, LCM of Fractions for 385/581, 5870/9987 is 451990.