Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/636, 35/111, 492/501 quickly i.e. 177940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/636, 35/111, 492/501 is 177940.
LCM(62/636, 35/111, 492/501) = 177940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/636,35/111,492/501
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 62,35,492
Least Common Multiple of Numerators i.e. LCM of 62,35,492 is 533820.
GCF of Denominators means GCF of 636,111,501 as per the given fractions.
GCF of 636,111,501 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,35,492
2 | 62, 35, 492 |
31, 35, 246 |
∴ So the LCM of the given numbers is 2 x 31 x 35 x 246 = 533820
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 62,35,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,35,492) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(62,35,492) x common factors =1 x 2 = 2
LCM(62,35,492) = ( 62 × 35 × 492 ) / 2
LCM(62,35,492) = 1067640 / 2
LCM(62,35,492) = 533820
Lets's calculate GCF of 636,111,501
3 | 636, 111, 501 |
212, 37, 167 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 533820/3
Therefore the LCM of Fractions 62/636,35/111,492/501 is 177940
Factors of 636
List of positive integer factors of 636 that divides 636 without a remainder.
1,2,3,4,6,12,53,106,159,212,318,636
Factors of 111
List of positive integer factors of 111 that divides 111 without a remainder.
1,3,37,111
Factors of 501
List of positive integer factors of 501 that divides 501 without a remainder.
1,3,167,501
Greatest Common Factor
We found the factors 636,111,501 . The biggest common factor number is the GCF number.
So the greatest common factor 636,111,501 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 62/636, 35/111, 492/501?
Answer: LCM of Numerators as per given numbers 62/636, 35/111, 492/501 is
LCM of Numerators i.e. for 62,35,492 is 533820
GCF of denominators i.e. for 636,111,501 is 3.
Thus, LCM of Fractions is 177940.Finally, LCM of Fractions for 62/636, 35/111, 492/501 is 177940.