Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 21/490, 942/146, 813/651 quickly i.e. 1786974 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 21/490, 942/146, 813/651 is 1786974.
LCM(21/490, 942/146, 813/651) = 1786974
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 21/490,942/146,813/651
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 21,942,813
Least Common Multiple of Numerators i.e. LCM of 21,942,813 is 1786974.
GCF of Denominators means GCF of 490,146,651 as per the given fractions.
GCF of 490,146,651 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 21,942,813
3 | 21, 942, 813 |
7, 314, 271 |
∴ So the LCM of the given numbers is 3 x 7 x 314 x 271 = 1786974
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 21,942,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,942,813) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(21,942,813) x common factors =3 x 3 = 9
LCM(21,942,813) = ( 21 × 942 × 813 ) / 9
LCM(21,942,813) = 16082766 / 9
LCM(21,942,813) = 1786974
Lets's calculate GCF of 490,146,651
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1786974/1
Therefore the LCM of Fractions 21/490,942/146,813/651 is 1786974
Factors of 490
List of positive integer factors of 490 that divides 490 without a remainder.
1,2,5,7,10,14,35,49,70,98,245,490
Factors of 146
List of positive integer factors of 146 that divides 146 without a remainder.
1,2,73,146
Factors of 651
List of positive integer factors of 651 that divides 651 without a remainder.
1,3,7,21,31,93,217,651
Greatest Common Factor
We found the factors 490,146,651 . The biggest common factor number is the GCF number.
So the greatest common factor 490,146,651 is 1.
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 21/490, 942/146, 813/651?
Answer: LCM of Numerators as per given numbers 21/490, 942/146, 813/651 is
LCM of Numerators i.e. for 21,942,813 is 1786974
GCF of denominators i.e. for 490,146,651 is 1.
Thus, LCM of Fractions is 1786974.Finally, LCM of Fractions for 21/490, 942/146, 813/651 is 1786974.