Least Common Multiple of 93/110, 894/60, 281/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 93/110, 894/60, 281/580 quickly i.e. 7787634/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/110, 894/60, 281/580 is 7787634/10.

LCM(93/110, 894/60, 281/580) = 7787634/10

LCM of 93/110, 894/60, 281/580

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 93/110,894/60,281/580

Given numbers are 93/110,894/60,281/580

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 93,894,281

Least Common Multiple of Numerators i.e. LCM of 93,894,281 is 7787634.

GCF of Denominators means GCF of 110,60,580 as per the given fractions.

GCF of 110,60,580 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,894,281

LCM of Fractions 93/110,894/60,281/580 is 7787634/10

3 93, 894, 281
31, 298, 281

∴ So the LCM of the given numbers is 3 x 31 x 298 x 281 = 7787634

Least Common Multiple of 93,894,281 with GCF Formula

Least Common Multiple of 93,894,281 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 93,894,281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,894,281) = 1

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

GCF(93,894,281) x common factors =1 x 3 = 3

LCM(93,894,281) = ( 93 × 894 × 281 ) / 3

LCM(93,894,281) = 23362902 / 3

LCM(93,894,281) = 7787634


Lets's calculate GCF of 110,60,580

2 110, 60, 580
5 55, 30, 290
11, 6, 58

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7787634/10

Therefore the LCM of Fractions 93/110,894/60,281/580 is 7787634/10

Greatest Common Factor of 110,60,580 By Matching Biggest Common Factor Method

Greatest Common Factor of 110,60,580 By Matching Biggest Common Factor Method

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Greatest Common Factor

We found the factors 110,60,580 . The biggest common factor number is the GCF number.
So the greatest common factor 110,60,580 is 10.


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 93/110, 894/60, 281/580

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 93/110, 894/60, 281/580?

Answer: LCM of Numerators as per given numbers 93/110, 894/60, 281/580 is

LCM of Numerators i.e. for 93,894,281 is 7787634

GCF of denominators i.e. for 110,60,580 is 10.

Thus, LCM of Fractions is 7787634/10.Finally, LCM of Fractions for 93/110, 894/60, 281/580 is 7787634/10.