Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 10/896, 22/150, 620/116 quickly i.e. 3410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 10/896, 22/150, 620/116 is 3410.
LCM(10/896, 22/150, 620/116) = 3410
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 10/896,22/150,620/116
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 10,22,620
Least Common Multiple of Numerators i.e. LCM of 10,22,620 is 6820.
GCF of Denominators means GCF of 896,150,116 as per the given fractions.
GCF of 896,150,116 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 10,22,620
2 | 10, 22, 620 |
5 | 5, 11, 310 |
1, 11, 62 |
∴ So the LCM of the given numbers is 2 x 5 x 1 x 11 x 62 = 6820
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 10,22,620 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,22,620) = 2
common factors(in case of two or more numbers have common factors) = 10
GCF(10,22,620) x common factors =2 x 10 = 20
LCM(10,22,620) = ( 10 × 22 × 620 ) / 20
LCM(10,22,620) = 136400 / 20
LCM(10,22,620) = 6820
Lets's calculate GCF of 896,150,116
2 | 896, 150, 116 |
448, 75, 58 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6820/2
Therefore the LCM of Fractions 10/896,22/150,620/116 is 3410
Factors of 896
List of positive integer factors of 896 that divides 896 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896
Factors of 150
List of positive integer factors of 150 that divides 150 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,150
Factors of 116
List of positive integer factors of 116 that divides 116 without a remainder.
1,2,4,29,58,116
Greatest Common Factor
We found the factors 896,150,116 . The biggest common factor number is the GCF number.
So the greatest common factor 896,150,116 is 2.
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 10/896, 22/150, 620/116?
Answer: LCM of Numerators as per given numbers 10/896, 22/150, 620/116 is
LCM of Numerators i.e. for 10,22,620 is 6820
GCF of denominators i.e. for 896,150,116 is 2.
Thus, LCM of Fractions is 3410.Finally, LCM of Fractions for 10/896, 22/150, 620/116 is 3410.