Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 56/882, 99/352, 861/235 quickly i.e. 227304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 56/882, 99/352, 861/235 is 227304.
LCM(56/882, 99/352, 861/235) = 227304
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 56/882,99/352,861/235
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 56,99,861
Least Common Multiple of Numerators i.e. LCM of 56,99,861 is 227304.
GCF of Denominators means GCF of 882,352,235 as per the given fractions.
GCF of 882,352,235 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 56,99,861
3 | 56, 99, 861 |
7 | 56, 33, 287 |
8, 33, 41 |
∴ So the LCM of the given numbers is 3 x 7 x 8 x 33 x 41 = 227304
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 56,99,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,99,861) = 1
common factors(in case of two or more numbers have common factors) = 21
GCF(56,99,861) x common factors =1 x 21 = 21
LCM(56,99,861) = ( 56 × 99 × 861 ) / 21
LCM(56,99,861) = 4773384 / 21
LCM(56,99,861) = 227304
Lets's calculate GCF of 882,352,235
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 227304/1
Therefore the LCM of Fractions 56/882,99/352,861/235 is 227304
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 352
List of positive integer factors of 352 that divides 352 without a remainder.
1,2,4,8,11,16,22,32,44,88,176,352
Factors of 235
List of positive integer factors of 235 that divides 235 without a remainder.
1,5,47,235
Greatest Common Factor
We found the factors 882,352,235 . The biggest common factor number is the GCF number.
So the greatest common factor 882,352,235 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 56/882, 99/352, 861/235?
Answer: LCM of Numerators as per given numbers 56/882, 99/352, 861/235 is
LCM of Numerators i.e. for 56,99,861 is 227304
GCF of denominators i.e. for 882,352,235 is 1.
Thus, LCM of Fractions is 227304.Finally, LCM of Fractions for 56/882, 99/352, 861/235 is 227304.