Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/945, 3510/6213 quickly i.e. 36270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/945, 3510/6213 is 36270.
LCM(62/945, 3510/6213) = 36270
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/945,3510/6213
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 62,3510
Least Common Multiple of Numerators i.e. LCM of 62,3510 is 108810.
GCF of Denominators means GCF of 945,6213 as per the given fractions.
GCF of 945,6213 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,3510
2 | 62, 3510 |
31, 1755 |
∴ So the LCM of the given numbers is 2 x 31 x 1755 = 108810
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 62,3510 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,3510) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(62,3510) x common factors =2 x 1 = 2
LCM(62,3510) = ( 62 × 3510 ) / 2
LCM(62,3510) = 217620 / 2
LCM(62,3510) = 108810
Lets's calculate GCF of 945,6213
3 | 945, 6213 |
315, 2071 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108810/3
Therefore the LCM of Fractions 62/945,3510/6213 is 36270
Factors of 945
List of positive integer factors of 945 that divides 945 without a remainder.
1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945
Factors of 6213
List of positive integer factors of 6213 that divides 6213 without a remainder.
1,3,19,57,109,327,2071,6213
Greatest Common Factor
We found the factors 945,6213 . The biggest common factor number is the GCF number.
So the greatest common factor 945,6213 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 62/945, 3510/6213?
Answer: LCM of Numerators as per given numbers 62/945, 3510/6213 is
LCM of Numerators i.e. for 62,3510 is 108810
GCF of denominators i.e. for 945,6213 is 3.
Thus, LCM of Fractions is 36270.Finally, LCM of Fractions for 62/945, 3510/6213 is 36270.