Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 48/882, 12/224, 487/707 quickly i.e. 23376/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 48/882, 12/224, 487/707 is 23376/7.
LCM(48/882, 12/224, 487/707) = 23376/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 48/882,12/224,487/707
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 48,12,487
Least Common Multiple of Numerators i.e. LCM of 48,12,487 is 23376.
GCF of Denominators means GCF of 882,224,707 as per the given fractions.
GCF of 882,224,707 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 48,12,487
2 | 48, 12, 487 |
2 | 24, 6, 487 |
3 | 12, 3, 487 |
4, 1, 487 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 4 x 1 x 487 = 23376
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 48,12,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,12,487) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(48,12,487) x common factors =1 x 12 = 12
LCM(48,12,487) = ( 48 × 12 × 487 ) / 12
LCM(48,12,487) = 280512 / 12
LCM(48,12,487) = 23376
Lets's calculate GCF of 882,224,707
7 | 882, 224, 707 |
126, 32, 101 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23376/7
Therefore the LCM of Fractions 48/882,12/224,487/707 is 23376/7
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 224
List of positive integer factors of 224 that divides 224 without a remainder.
1,2,4,7,8,14,16,28,32,56,112,224
Factors of 707
List of positive integer factors of 707 that divides 707 without a remainder.
1,7,101,707
Greatest Common Factor
We found the factors 882,224,707 . The biggest common factor number is the GCF number.
So the greatest common factor 882,224,707 is 7.
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 48/882, 12/224, 487/707?
Answer: LCM of Numerators as per given numbers 48/882, 12/224, 487/707 is
LCM of Numerators i.e. for 48,12,487 is 23376
GCF of denominators i.e. for 882,224,707 is 7.
Thus, LCM of Fractions is 23376/7.Finally, LCM of Fractions for 48/882, 12/224, 487/707 is 23376/7.