Least Common Multiple of 581/42, 429/80, 935/974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 581/42, 429/80, 935/974 quickly i.e. 21186165/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 581/42, 429/80, 935/974 is 21186165/2.

LCM(581/42, 429/80, 935/974) = 21186165/2

LCM of 581/42, 429/80, 935/974

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 581/42,429/80,935/974

Given numbers are 581/42,429/80,935/974

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 581,429,935

Least Common Multiple of Numerators i.e. LCM of 581,429,935 is 21186165.

GCF of Denominators means GCF of 42,80,974 as per the given fractions.

GCF of 42,80,974 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 581,429,935

LCM of Fractions 581/42,429/80,935/974 is 21186165/2

11 581, 429, 935
581, 39, 85

∴ So the LCM of the given numbers is 11 x 581 x 39 x 85 = 21186165

Least Common Multiple of 581,429,935 with GCF Formula

Least Common Multiple of 581,429,935 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 581,429,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(581,429,935) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(581,429,935) x common factors =1 x 11 = 11

LCM(581,429,935) = ( 581 × 429 × 935 ) / 11

LCM(581,429,935) = 233047815 / 11

LCM(581,429,935) = 21186165


Lets's calculate GCF of 42,80,974

2 42, 80, 974
21, 40, 487

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21186165/2

Therefore the LCM of Fractions 581/42,429/80,935/974 is 21186165/2

Greatest Common Factor of 42,80,974 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,80,974 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

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 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Greatest Common Factor

We found the factors 42,80,974 . The biggest common factor number is the GCF number.
So the greatest common factor 42,80,974 is 2.


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 581/42, 429/80, 935/974

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 581/42, 429/80, 935/974?

Answer: LCM of Numerators as per given numbers 581/42, 429/80, 935/974 is

LCM of Numerators i.e. for 581,429,935 is 21186165

GCF of denominators i.e. for 42,80,974 is 2.

Thus, LCM of Fractions is 21186165/2.Finally, LCM of Fractions for 581/42, 429/80, 935/974 is 21186165/2.