Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5010/21, 2942/444 quickly i.e. 2456570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5010/21, 2942/444 is 2456570.
LCM(5010/21, 2942/444) = 2456570
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5010/21,2942/444
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 5010,2942
Least Common Multiple of Numerators i.e. LCM of 5010,2942 is 7369710.
GCF of Denominators means GCF of 21,444 as per the given fractions.
GCF of 21,444 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5010,2942
2 | 5010, 2942 |
2505, 1471 |
∴ So the LCM of the given numbers is 2 x 2505 x 1471 = 7369710
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 5010,2942 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5010,2942) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(5010,2942) x common factors =2 x 1 = 2
LCM(5010,2942) = ( 5010 × 2942 ) / 2
LCM(5010,2942) = 14739420 / 2
LCM(5010,2942) = 7369710
Lets's calculate GCF of 21,444
3 | 21, 444 |
7, 148 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7369710/3
Therefore the LCM of Fractions 5010/21,2942/444 is 2456570
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 444
List of positive integer factors of 444 that divides 444 without a remainder.
1,2,3,4,6,12,37,74,111,148,222,444
Greatest Common Factor
We found the factors 21,444 . The biggest common factor number is the GCF number.
So the greatest common factor 21,444 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 5010/21, 2942/444?
Answer: LCM of Numerators as per given numbers 5010/21, 2942/444 is
LCM of Numerators i.e. for 5010,2942 is 7369710
GCF of denominators i.e. for 21,444 is 3.
Thus, LCM of Fractions is 2456570.Finally, LCM of Fractions for 5010/21, 2942/444 is 2456570.