Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 882/21, 5448/651 quickly i.e. 38136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 882/21, 5448/651 is 38136.
LCM(882/21, 5448/651) = 38136
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 882/21,5448/651
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 882,5448
Least Common Multiple of Numerators i.e. LCM of 882,5448 is 800856.
GCF of Denominators means GCF of 21,651 as per the given fractions.
GCF of 21,651 is 21 as it is the largest common factor for these numbers.
Lets's calculate LCM of 882,5448
2 | 882, 5448 |
3 | 441, 2724 |
147, 908 |
∴ So the LCM of the given numbers is 2 x 3 x 147 x 908 = 800856
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 882,5448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(882,5448) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(882,5448) x common factors =6 x 1 = 6
LCM(882,5448) = ( 882 × 5448 ) / 6
LCM(882,5448) = 4805136 / 6
LCM(882,5448) = 800856
Lets's calculate GCF of 21,651
3 | 21, 651 |
7 | 7, 217 |
1, 31 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 800856/21
Therefore the LCM of Fractions 882/21,5448/651 is 38136
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 651
List of positive integer factors of 651 that divides 651 without a remainder.
1,3,7,21,31,93,217,651
Greatest Common Factor
We found the factors 21,651 . The biggest common factor number is the GCF number.
So the greatest common factor 21,651 is 21.
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 882/21, 5448/651?
Answer: LCM of Numerators as per given numbers 882/21, 5448/651 is
LCM of Numerators i.e. for 882,5448 is 800856
GCF of denominators i.e. for 21,651 is 21.
Thus, LCM of Fractions is 38136.Finally, LCM of Fractions for 882/21, 5448/651 is 38136.