Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 870/628, 573/852 quickly i.e. 166170/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 870/628, 573/852 is 166170/4.
LCM(870/628, 573/852) = 166170/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 870/628,573/852
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 870,573
Least Common Multiple of Numerators i.e. LCM of 870,573 is 166170.
GCF of Denominators means GCF of 628,852 as per the given fractions.
GCF of 628,852 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 870,573
3 | 870, 573 |
290, 191 |
∴ So the LCM of the given numbers is 3 x 290 x 191 = 166170
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 870,573 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(870,573) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(870,573) x common factors =3 x 1 = 3
LCM(870,573) = ( 870 × 573 ) / 3
LCM(870,573) = 498510 / 3
LCM(870,573) = 166170
Lets's calculate GCF of 628,852
2 | 628, 852 |
2 | 314, 426 |
157, 213 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 166170/4
Therefore the LCM of Fractions 870/628,573/852 is 166170/4
Factors of 628
List of positive integer factors of 628 that divides 628 without a remainder.
1,2,4,157,314,628
Factors of 852
List of positive integer factors of 852 that divides 852 without a remainder.
1,2,3,4,6,12,71,142,213,284,426,852
Greatest Common Factor
We found the factors 628,852 . The biggest common factor number is the GCF number.
So the greatest common factor 628,852 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 870/628, 573/852?
Answer: LCM of Numerators as per given numbers 870/628, 573/852 is
LCM of Numerators i.e. for 870,573 is 166170
GCF of denominators i.e. for 628,852 is 4.
Thus, LCM of Fractions is 166170/4.Finally, LCM of Fractions for 870/628, 573/852 is 166170/4.