Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/564, 56/872, 602/228 quickly i.e. 1806 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/564, 56/872, 602/228 is 1806.
LCM(12/564, 56/872, 602/228) = 1806
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/564,56/872,602/228
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 12,56,602
Least Common Multiple of Numerators i.e. LCM of 12,56,602 is 7224.
GCF of Denominators means GCF of 564,872,228 as per the given fractions.
GCF of 564,872,228 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,56,602
2 | 12, 56, 602 |
2 | 6, 28, 301 |
7 | 3, 14, 301 |
3, 2, 43 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 3 x 2 x 43 = 7224
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 12,56,602 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,56,602) = 2
common factors(in case of two or more numbers have common factors) = 28
GCF(12,56,602) x common factors =2 x 28 = 56
LCM(12,56,602) = ( 12 × 56 × 602 ) / 56
LCM(12,56,602) = 404544 / 56
LCM(12,56,602) = 7224
Lets's calculate GCF of 564,872,228
2 | 564, 872, 228 |
2 | 282, 436, 114 |
141, 218, 57 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7224/4
Therefore the LCM of Fractions 12/564,56/872,602/228 is 1806
Factors of 564
List of positive integer factors of 564 that divides 564 without a remainder.
1,2,3,4,6,12,47,94,141,188,282,564
Factors of 872
List of positive integer factors of 872 that divides 872 without a remainder.
1,2,4,8,109,218,436,872
Factors of 228
List of positive integer factors of 228 that divides 228 without a remainder.
1,2,3,4,6,12,19,38,57,76,114,228
Greatest Common Factor
We found the factors 564,872,228 . The biggest common factor number is the GCF number.
So the greatest common factor 564,872,228 is 4.
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 12/564, 56/872, 602/228?
Answer: LCM of Numerators as per given numbers 12/564, 56/872, 602/228 is
LCM of Numerators i.e. for 12,56,602 is 7224
GCF of denominators i.e. for 564,872,228 is 4.
Thus, LCM of Fractions is 1806.Finally, LCM of Fractions for 12/564, 56/872, 602/228 is 1806.