Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/955, 433/282, 994/335 quickly i.e. 37444974 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/955, 433/282, 994/335 is 37444974.
LCM(87/955, 433/282, 994/335) = 37444974
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/955,433/282,994/335
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 87,433,994
Least Common Multiple of Numerators i.e. LCM of 87,433,994 is 37444974.
GCF of Denominators means GCF of 955,282,335 as per the given fractions.
GCF of 955,282,335 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,433,994
Given numbers has no common factors except 1. So, there LCM is their product i.e 37444974
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 87,433,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,433,994) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,433,994) x common factors =1 x 1 = 1
LCM(87,433,994) = ( 87 × 433 × 994 ) / 1
LCM(87,433,994) = 37444974 / 1
LCM(87,433,994) = 37444974
Lets's calculate GCF of 955,282,335
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37444974/1
Therefore the LCM of Fractions 87/955,433/282,994/335 is 37444974
Factors of 955
List of positive integer factors of 955 that divides 955 without a remainder.
1,5,191,955
Factors of 282
List of positive integer factors of 282 that divides 282 without a remainder.
1,2,3,6,47,94,141,282
Factors of 335
List of positive integer factors of 335 that divides 335 without a remainder.
1,5,67,335
Greatest Common Factor
We found the factors 955,282,335 . The biggest common factor number is the GCF number.
So the greatest common factor 955,282,335 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 87/955, 433/282, 994/335?
Answer: LCM of Numerators as per given numbers 87/955, 433/282, 994/335 is
LCM of Numerators i.e. for 87,433,994 is 37444974
GCF of denominators i.e. for 955,282,335 is 1.
Thus, LCM of Fractions is 37444974.Finally, LCM of Fractions for 87/955, 433/282, 994/335 is 37444974.