Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 556/10, 200/50, 105/176 quickly i.e. 291900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 556/10, 200/50, 105/176 is 291900.
LCM(556/10, 200/50, 105/176) = 291900
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 556/10,200/50,105/176
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 556,200,105
Least Common Multiple of Numerators i.e. LCM of 556,200,105 is 583800.
GCF of Denominators means GCF of 10,50,176 as per the given fractions.
GCF of 10,50,176 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 556,200,105
2 | 556, 200, 105 |
2 | 278, 100, 105 |
5 | 139, 50, 105 |
139, 10, 21 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 139 x 10 x 21 = 583800
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 556,200,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(556,200,105) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(556,200,105) x common factors =1 x 20 = 20
LCM(556,200,105) = ( 556 × 200 × 105 ) / 20
LCM(556,200,105) = 11676000 / 20
LCM(556,200,105) = 583800
Lets's calculate GCF of 10,50,176
2 | 10, 50, 176 |
5, 25, 88 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 583800/2
Therefore the LCM of Fractions 556/10,200/50,105/176 is 291900
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 176
List of positive integer factors of 176 that divides 176 without a remainder.
1,2,4,8,11,16,22,44,88,176
Greatest Common Factor
We found the factors 10,50,176 . The biggest common factor number is the GCF number.
So the greatest common factor 10,50,176 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 556/10, 200/50, 105/176?
Answer: LCM of Numerators as per given numbers 556/10, 200/50, 105/176 is
LCM of Numerators i.e. for 556,200,105 is 583800
GCF of denominators i.e. for 10,50,176 is 2.
Thus, LCM of Fractions is 291900.Finally, LCM of Fractions for 556/10, 200/50, 105/176 is 291900.