Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 56/830, 3368/9900 quickly i.e. 23576/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 56/830, 3368/9900 is 23576/10.
LCM(56/830, 3368/9900) = 23576/10
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 56/830,3368/9900
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 56,3368
Least Common Multiple of Numerators i.e. LCM of 56,3368 is 23576.
GCF of Denominators means GCF of 830,9900 as per the given fractions.
GCF of 830,9900 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 56,3368
2 | 56, 3368 |
2 | 28, 1684 |
2 | 14, 842 |
7, 421 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 421 = 23576
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 56,3368 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,3368) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(56,3368) x common factors =8 x 1 = 8
LCM(56,3368) = ( 56 × 3368 ) / 8
LCM(56,3368) = 188608 / 8
LCM(56,3368) = 23576
Lets's calculate GCF of 830,9900
2 | 830, 9900 |
5 | 415, 4950 |
83, 990 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23576/10
Therefore the LCM of Fractions 56/830,3368/9900 is 23576/10
Factors of 830
List of positive integer factors of 830 that divides 830 without a remainder.
1,2,5,10,83,166,415,830
Factors of 9900
List of positive integer factors of 9900 that divides 9900 without a remainder.
1,2,3,4,5,6,9,10,11,12,15,18,20,22,25,30,33,36,44,45,50,55,60,66,75,90,99,100,110,132,150,165,180,198,220,225,275,300,330,396,450,495,550,660,825,900,990,1100,1650,1980,2475,3300,4950,9900
Greatest Common Factor
We found the factors 830,9900 . The biggest common factor number is the GCF number.
So the greatest common factor 830,9900 is 10.
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 56/830, 3368/9900?
Answer: LCM of Numerators as per given numbers 56/830, 3368/9900 is
LCM of Numerators i.e. for 56,3368 is 23576
GCF of denominators i.e. for 830,9900 is 10.
Thus, LCM of Fractions is 23576/10.Finally, LCM of Fractions for 56/830, 3368/9900 is 23576/10.