Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 502/12, 945/22, 710/698 quickly i.e. 16840845 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 502/12, 945/22, 710/698 is 16840845.
LCM(502/12, 945/22, 710/698) = 16840845
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 502/12,945/22,710/698
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 502,945,710
Least Common Multiple of Numerators i.e. LCM of 502,945,710 is 33681690.
GCF of Denominators means GCF of 12,22,698 as per the given fractions.
GCF of 12,22,698 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 502,945,710
2 | 502, 945, 710 |
5 | 251, 945, 355 |
251, 189, 71 |
∴ So the LCM of the given numbers is 2 x 5 x 251 x 189 x 71 = 33681690
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 502,945,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(502,945,710) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(502,945,710) x common factors =1 x 10 = 10
LCM(502,945,710) = ( 502 × 945 × 710 ) / 10
LCM(502,945,710) = 336816900 / 10
LCM(502,945,710) = 33681690
Lets's calculate GCF of 12,22,698
2 | 12, 22, 698 |
6, 11, 349 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33681690/2
Therefore the LCM of Fractions 502/12,945/22,710/698 is 16840845
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 698
List of positive integer factors of 698 that divides 698 without a remainder.
1,2,349,698
Greatest Common Factor
We found the factors 12,22,698 . The biggest common factor number is the GCF number.
So the greatest common factor 12,22,698 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 502/12, 945/22, 710/698?
Answer: LCM of Numerators as per given numbers 502/12, 945/22, 710/698 is
LCM of Numerators i.e. for 502,945,710 is 33681690
GCF of denominators i.e. for 12,22,698 is 2.
Thus, LCM of Fractions is 16840845.Finally, LCM of Fractions for 502/12, 945/22, 710/698 is 16840845.