Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 387/529, 523/962, 354/107 quickly i.e. 23883318 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 387/529, 523/962, 354/107 is 23883318.
LCM(387/529, 523/962, 354/107) = 23883318
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 387/529,523/962,354/107
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 387,523,354
Least Common Multiple of Numerators i.e. LCM of 387,523,354 is 23883318.
GCF of Denominators means GCF of 529,962,107 as per the given fractions.
GCF of 529,962,107 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 387,523,354
3 | 387, 523, 354 |
129, 523, 118 |
∴ So the LCM of the given numbers is 3 x 129 x 523 x 118 = 23883318
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 387,523,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(387,523,354) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(387,523,354) x common factors =1 x 3 = 3
LCM(387,523,354) = ( 387 × 523 × 354 ) / 3
LCM(387,523,354) = 71649954 / 3
LCM(387,523,354) = 23883318
Lets's calculate GCF of 529,962,107
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23883318/1
Therefore the LCM of Fractions 387/529,523/962,354/107 is 23883318
Factors of 529
List of positive integer factors of 529 that divides 529 without a remainder.
1,23,529
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 107
List of positive integer factors of 107 that divides 107 without a remainder.
1,107
Greatest Common Factor
We found the factors 529,962,107 . The biggest common factor number is the GCF number.
So the greatest common factor 529,962,107 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 387/529, 523/962, 354/107?
Answer: LCM of Numerators as per given numbers 387/529, 523/962, 354/107 is
LCM of Numerators i.e. for 387,523,354 is 23883318
GCF of denominators i.e. for 529,962,107 is 1.
Thus, LCM of Fractions is 23883318.Finally, LCM of Fractions for 387/529, 523/962, 354/107 is 23883318.