Least Common Multiple of 971/28, 705/30, 582/41

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 971/28, 705/30, 582/41 quickly i.e. 132803670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 971/28, 705/30, 582/41 is 132803670.

LCM(971/28, 705/30, 582/41) = 132803670

LCM of 971/28, 705/30, 582/41

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 971/28,705/30,582/41

Given numbers are 971/28,705/30,582/41

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 971,705,582

Least Common Multiple of Numerators i.e. LCM of 971,705,582 is 132803670.

GCF of Denominators means GCF of 28,30,41 as per the given fractions.

GCF of 28,30,41 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 971,705,582

LCM of Fractions 971/28,705/30,582/41 is 132803670

3 971, 705, 582
971, 235, 194

∴ So the LCM of the given numbers is 3 x 971 x 235 x 194 = 132803670

Least Common Multiple of 971,705,582 with GCF Formula

Least Common Multiple of 971,705,582 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 971,705,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,705,582) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(971,705,582) x common factors =1 x 3 = 3

LCM(971,705,582) = ( 971 × 705 × 582 ) / 3

LCM(971,705,582) = 398411010 / 3

LCM(971,705,582) = 132803670


Lets's calculate GCF of 28,30,41

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132803670/1

Therefore the LCM of Fractions 971/28,705/30,582/41 is 132803670

Greatest Common Factor of 28,30,41 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,30,41 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Greatest Common Factor

We found the factors 28,30,41 . The biggest common factor number is the GCF number.
So the greatest common factor 28,30,41 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 971/28, 705/30, 582/41

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 971/28, 705/30, 582/41?

Answer: LCM of Numerators as per given numbers 971/28, 705/30, 582/41 is

LCM of Numerators i.e. for 971,705,582 is 132803670

GCF of denominators i.e. for 28,30,41 is 1.

Thus, LCM of Fractions is 132803670.Finally, LCM of Fractions for 971/28, 705/30, 582/41 is 132803670.