Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 971/75, 208/40, 234/158 quickly i.e. 1817712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 971/75, 208/40, 234/158 is 1817712.
LCM(971/75, 208/40, 234/158) = 1817712
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 971/75,208/40,234/158
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 971,208,234
Least Common Multiple of Numerators i.e. LCM of 971,208,234 is 1817712.
GCF of Denominators means GCF of 75,40,158 as per the given fractions.
GCF of 75,40,158 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 971,208,234
2 | 971, 208, 234 |
13 | 971, 104, 117 |
971, 8, 9 |
∴ So the LCM of the given numbers is 2 x 13 x 971 x 8 x 9 = 1817712
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 971,208,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,208,234) = 1
common factors(in case of two or more numbers have common factors) = 26
GCF(971,208,234) x common factors =1 x 26 = 26
LCM(971,208,234) = ( 971 × 208 × 234 ) / 26
LCM(971,208,234) = 47260512 / 26
LCM(971,208,234) = 1817712
Lets's calculate GCF of 75,40,158
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1817712/1
Therefore the LCM of Fractions 971/75,208/40,234/158 is 1817712
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 158
List of positive integer factors of 158 that divides 158 without a remainder.
1,2,79,158
Greatest Common Factor
We found the factors 75,40,158 . The biggest common factor number is the GCF number.
So the greatest common factor 75,40,158 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 971/75, 208/40, 234/158?
Answer: LCM of Numerators as per given numbers 971/75, 208/40, 234/158 is
LCM of Numerators i.e. for 971,208,234 is 1817712
GCF of denominators i.e. for 75,40,158 is 1.
Thus, LCM of Fractions is 1817712.Finally, LCM of Fractions for 971/75, 208/40, 234/158 is 1817712.