Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 42/83, 464/89, 975/187 quickly i.e. 3166800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 42/83, 464/89, 975/187 is 3166800.
LCM(42/83, 464/89, 975/187) = 3166800
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 42/83,464/89,975/187
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 42,464,975
Least Common Multiple of Numerators i.e. LCM of 42,464,975 is 3166800.
GCF of Denominators means GCF of 83,89,187 as per the given fractions.
GCF of 83,89,187 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 42,464,975
2 | 42, 464, 975 |
3 | 21, 232, 975 |
7, 232, 325 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 232 x 325 = 3166800
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 42,464,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,464,975) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(42,464,975) x common factors =1 x 6 = 6
LCM(42,464,975) = ( 42 × 464 × 975 ) / 6
LCM(42,464,975) = 19000800 / 6
LCM(42,464,975) = 3166800
Lets's calculate GCF of 83,89,187
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3166800/1
Therefore the LCM of Fractions 42/83,464/89,975/187 is 3166800
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 187
List of positive integer factors of 187 that divides 187 without a remainder.
1,11,17,187
Greatest Common Factor
We found the factors 83,89,187 . The biggest common factor number is the GCF number.
So the greatest common factor 83,89,187 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 42/83, 464/89, 975/187?
Answer: LCM of Numerators as per given numbers 42/83, 464/89, 975/187 is
LCM of Numerators i.e. for 42,464,975 is 3166800
GCF of denominators i.e. for 83,89,187 is 1.
Thus, LCM of Fractions is 3166800.Finally, LCM of Fractions for 42/83, 464/89, 975/187 is 3166800.