Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 526/948, 943/463, 387/342 quickly i.e. 191958966 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 526/948, 943/463, 387/342 is 191958966.
LCM(526/948, 943/463, 387/342) = 191958966
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 526/948,943/463,387/342
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 526,943,387
Least Common Multiple of Numerators i.e. LCM of 526,943,387 is 191958966.
GCF of Denominators means GCF of 948,463,342 as per the given fractions.
GCF of 948,463,342 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 526,943,387
Given numbers has no common factors except 1. So, there LCM is their product i.e 191958966
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 526,943,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(526,943,387) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(526,943,387) x common factors =1 x 1 = 1
LCM(526,943,387) = ( 526 × 943 × 387 ) / 1
LCM(526,943,387) = 191958966 / 1
LCM(526,943,387) = 191958966
Lets's calculate GCF of 948,463,342
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 191958966/1
Therefore the LCM of Fractions 526/948,943/463,387/342 is 191958966
Factors of 948
List of positive integer factors of 948 that divides 948 without a remainder.
1,2,3,4,6,12,79,158,237,316,474,948
Factors of 463
List of positive integer factors of 463 that divides 463 without a remainder.
1,463
Factors of 342
List of positive integer factors of 342 that divides 342 without a remainder.
1,2,3,6,9,18,19,38,57,114,171,342
Greatest Common Factor
We found the factors 948,463,342 . The biggest common factor number is the GCF number.
So the greatest common factor 948,463,342 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 526/948, 943/463, 387/342?
Answer: LCM of Numerators as per given numbers 526/948, 943/463, 387/342 is
LCM of Numerators i.e. for 526,943,387 is 191958966
GCF of denominators i.e. for 948,463,342 is 1.
Thus, LCM of Fractions is 191958966.Finally, LCM of Fractions for 526/948, 943/463, 387/342 is 191958966.