Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/836, 281/958, 975/947 quickly i.e. 5205525 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/836, 281/958, 975/947 is 5205525.
LCM(95/836, 281/958, 975/947) = 5205525
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/836,281/958,975/947
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 95,281,975
Least Common Multiple of Numerators i.e. LCM of 95,281,975 is 5205525.
GCF of Denominators means GCF of 836,958,947 as per the given fractions.
GCF of 836,958,947 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,281,975
5 | 95, 281, 975 |
19, 281, 195 |
∴ So the LCM of the given numbers is 5 x 19 x 281 x 195 = 5205525
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 95,281,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,281,975) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(95,281,975) x common factors =1 x 5 = 5
LCM(95,281,975) = ( 95 × 281 × 975 ) / 5
LCM(95,281,975) = 26027625 / 5
LCM(95,281,975) = 5205525
Lets's calculate GCF of 836,958,947
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5205525/1
Therefore the LCM of Fractions 95/836,281/958,975/947 is 5205525
Factors of 836
List of positive integer factors of 836 that divides 836 without a remainder.
1,2,4,11,19,22,38,44,76,209,418,836
Factors of 958
List of positive integer factors of 958 that divides 958 without a remainder.
1,2,479,958
Factors of 947
List of positive integer factors of 947 that divides 947 without a remainder.
1,947
Greatest Common Factor
We found the factors 836,958,947 . The biggest common factor number is the GCF number.
So the greatest common factor 836,958,947 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 95/836, 281/958, 975/947?
Answer: LCM of Numerators as per given numbers 95/836, 281/958, 975/947 is
LCM of Numerators i.e. for 95,281,975 is 5205525
GCF of denominators i.e. for 836,958,947 is 1.
Thus, LCM of Fractions is 5205525.Finally, LCM of Fractions for 95/836, 281/958, 975/947 is 5205525.