Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 70/627, 25/204, 882/573 quickly i.e. 7350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 70/627, 25/204, 882/573 is 7350.
LCM(70/627, 25/204, 882/573) = 7350
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 70/627,25/204,882/573
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 70,25,882
Least Common Multiple of Numerators i.e. LCM of 70,25,882 is 22050.
GCF of Denominators means GCF of 627,204,573 as per the given fractions.
GCF of 627,204,573 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 70,25,882
2 | 70, 25, 882 |
5 | 35, 25, 441 |
7 | 7, 5, 441 |
1, 5, 63 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 1 x 5 x 63 = 22050
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 70,25,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,25,882) = 1
common factors(in case of two or more numbers have common factors) = 70
GCF(70,25,882) x common factors =1 x 70 = 70
LCM(70,25,882) = ( 70 × 25 × 882 ) / 70
LCM(70,25,882) = 1543500 / 70
LCM(70,25,882) = 22050
Lets's calculate GCF of 627,204,573
3 | 627, 204, 573 |
209, 68, 191 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22050/3
Therefore the LCM of Fractions 70/627,25/204,882/573 is 7350
Factors of 627
List of positive integer factors of 627 that divides 627 without a remainder.
1,3,11,19,33,57,209,627
Factors of 204
List of positive integer factors of 204 that divides 204 without a remainder.
1,2,3,4,6,12,17,34,51,68,102,204
Factors of 573
List of positive integer factors of 573 that divides 573 without a remainder.
1,3,191,573
Greatest Common Factor
We found the factors 627,204,573 . The biggest common factor number is the GCF number.
So the greatest common factor 627,204,573 is 3.
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 70/627, 25/204, 882/573?
Answer: LCM of Numerators as per given numbers 70/627, 25/204, 882/573 is
LCM of Numerators i.e. for 70,25,882 is 22050
GCF of denominators i.e. for 627,204,573 is 3.
Thus, LCM of Fractions is 7350.Finally, LCM of Fractions for 70/627, 25/204, 882/573 is 7350.