Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 93/882, 40/283, 155/354 quickly i.e. 3720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 93/882, 40/283, 155/354 is 3720.
LCM(93/882, 40/283, 155/354) = 3720
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 93/882,40/283,155/354
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 93,40,155
Least Common Multiple of Numerators i.e. LCM of 93,40,155 is 3720.
GCF of Denominators means GCF of 882,283,354 as per the given fractions.
GCF of 882,283,354 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 93,40,155
5 | 93, 40, 155 |
31 | 93, 8, 31 |
3, 8, 1 |
∴ So the LCM of the given numbers is 5 x 31 x 3 x 8 x 1 = 3720
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 93,40,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,40,155) = 1
common factors(in case of two or more numbers have common factors) = 155
GCF(93,40,155) x common factors =1 x 155 = 155
LCM(93,40,155) = ( 93 × 40 × 155 ) / 155
LCM(93,40,155) = 576600 / 155
LCM(93,40,155) = 3720
Lets's calculate GCF of 882,283,354
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3720/1
Therefore the LCM of Fractions 93/882,40/283,155/354 is 3720
Factors of 882
List of positive integer factors of 882 that divides 882 without a remainder.
1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882
Factors of 283
List of positive integer factors of 283 that divides 283 without a remainder.
1,283
Factors of 354
List of positive integer factors of 354 that divides 354 without a remainder.
1,2,3,6,59,118,177,354
Greatest Common Factor
We found the factors 882,283,354 . The biggest common factor number is the GCF number.
So the greatest common factor 882,283,354 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 93/882, 40/283, 155/354?
Answer: LCM of Numerators as per given numbers 93/882, 40/283, 155/354 is
LCM of Numerators i.e. for 93,40,155 is 3720
GCF of denominators i.e. for 882,283,354 is 1.
Thus, LCM of Fractions is 3720.Finally, LCM of Fractions for 93/882, 40/283, 155/354 is 3720.