Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 266/93, 794/86, 271/70 quickly i.e. 28618142 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 266/93, 794/86, 271/70 is 28618142.
LCM(266/93, 794/86, 271/70) = 28618142
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 266/93,794/86,271/70
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 266,794,271
Least Common Multiple of Numerators i.e. LCM of 266,794,271 is 28618142.
GCF of Denominators means GCF of 93,86,70 as per the given fractions.
GCF of 93,86,70 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 266,794,271
2 | 266, 794, 271 |
133, 397, 271 |
∴ So the LCM of the given numbers is 2 x 133 x 397 x 271 = 28618142
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 266,794,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(266,794,271) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(266,794,271) x common factors =1 x 2 = 2
LCM(266,794,271) = ( 266 × 794 × 271 ) / 2
LCM(266,794,271) = 57236284 / 2
LCM(266,794,271) = 28618142
Lets's calculate GCF of 93,86,70
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28618142/1
Therefore the LCM of Fractions 266/93,794/86,271/70 is 28618142
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Greatest Common Factor
We found the factors 93,86,70 . The biggest common factor number is the GCF number.
So the greatest common factor 93,86,70 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 266/93, 794/86, 271/70?
Answer: LCM of Numerators as per given numbers 266/93, 794/86, 271/70 is
LCM of Numerators i.e. for 266,794,271 is 28618142
GCF of denominators i.e. for 93,86,70 is 1.
Thus, LCM of Fractions is 28618142.Finally, LCM of Fractions for 266/93, 794/86, 271/70 is 28618142.