Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/62, 10/40, 142/362 quickly i.e. 11005 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/62, 10/40, 142/362 is 11005.
LCM(62/62, 10/40, 142/362) = 11005
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/62,10/40,142/362
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 62,10,142
Least Common Multiple of Numerators i.e. LCM of 62,10,142 is 22010.
GCF of Denominators means GCF of 62,40,362 as per the given fractions.
GCF of 62,40,362 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,10,142
2 | 62, 10, 142 |
31, 5, 71 |
∴ So the LCM of the given numbers is 2 x 31 x 5 x 71 = 22010
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 62,10,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,10,142) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(62,10,142) x common factors =2 x 2 = 4
LCM(62,10,142) = ( 62 × 10 × 142 ) / 4
LCM(62,10,142) = 88040 / 4
LCM(62,10,142) = 22010
Lets's calculate GCF of 62,40,362
2 | 62, 40, 362 |
31, 20, 181 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22010/2
Therefore the LCM of Fractions 62/62,10/40,142/362 is 11005
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 362
List of positive integer factors of 362 that divides 362 without a remainder.
1,2,181,362
Greatest Common Factor
We found the factors 62,40,362 . The biggest common factor number is the GCF number.
So the greatest common factor 62,40,362 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 62/62, 10/40, 142/362?
Answer: LCM of Numerators as per given numbers 62/62, 10/40, 142/362 is
LCM of Numerators i.e. for 62,10,142 is 22010
GCF of denominators i.e. for 62,40,362 is 2.
Thus, LCM of Fractions is 11005.Finally, LCM of Fractions for 62/62, 10/40, 142/362 is 11005.