Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/867, 3522/7636 quickly i.e. 109182 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/867, 3522/7636 is 109182.
LCM(62/867, 3522/7636) = 109182
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/867,3522/7636
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 62,3522
Least Common Multiple of Numerators i.e. LCM of 62,3522 is 109182.
GCF of Denominators means GCF of 867,7636 as per the given fractions.
GCF of 867,7636 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,3522
2 | 62, 3522 |
31, 1761 |
∴ So the LCM of the given numbers is 2 x 31 x 1761 = 109182
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 62,3522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,3522) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(62,3522) x common factors =2 x 1 = 2
LCM(62,3522) = ( 62 × 3522 ) / 2
LCM(62,3522) = 218364 / 2
LCM(62,3522) = 109182
Lets's calculate GCF of 867,7636
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109182/1
Therefore the LCM of Fractions 62/867,3522/7636 is 109182
Factors of 867
List of positive integer factors of 867 that divides 867 without a remainder.
1,3,17,51,289,867
Factors of 7636
List of positive integer factors of 7636 that divides 7636 without a remainder.
1,2,4,23,46,83,92,166,332,1909,3818,7636
Greatest Common Factor
We found the factors 867,7636 . The biggest common factor number is the GCF number.
So the greatest common factor 867,7636 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 62/867, 3522/7636?
Answer: LCM of Numerators as per given numbers 62/867, 3522/7636 is
LCM of Numerators i.e. for 62,3522 is 109182
GCF of denominators i.e. for 867,7636 is 1.
Thus, LCM of Fractions is 109182.Finally, LCM of Fractions for 62/867, 3522/7636 is 109182.