Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/10, 52/962, 51/418 quickly i.e. 1326 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/10, 52/962, 51/418 is 1326.
LCM(1/10, 52/962, 51/418) = 1326
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/10,52/962,51/418
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 1,52,51
Least Common Multiple of Numerators i.e. LCM of 1,52,51 is 2652.
GCF of Denominators means GCF of 10,962,418 as per the given fractions.
GCF of 10,962,418 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,52,51
Given numbers has no common factors except 1. So, there LCM is their product i.e 2652
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 1,52,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,52,51) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1,52,51) x common factors =1 x 1 = 1
LCM(1,52,51) = ( 1 × 52 × 51 ) / 1
LCM(1,52,51) = 2652 / 1
LCM(1,52,51) = 2652
Lets's calculate GCF of 10,962,418
2 | 10, 962, 418 |
5, 481, 209 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2652/2
Therefore the LCM of Fractions 1/10,52/962,51/418 is 1326
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 962
List of positive integer factors of 962 that divides 962 without a remainder.
1,2,13,26,37,74,481,962
Factors of 418
List of positive integer factors of 418 that divides 418 without a remainder.
1,2,11,19,22,38,209,418
Greatest Common Factor
We found the factors 10,962,418 . The biggest common factor number is the GCF number.
So the greatest common factor 10,962,418 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 1/10, 52/962, 51/418?
Answer: LCM of Numerators as per given numbers 1/10, 52/962, 51/418 is
LCM of Numerators i.e. for 1,52,51 is 2652
GCF of denominators i.e. for 10,962,418 is 2.
Thus, LCM of Fractions is 1326.Finally, LCM of Fractions for 1/10, 52/962, 51/418 is 1326.