Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 51/97, 27/94, 86/650 quickly i.e. 39474 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 51/97, 27/94, 86/650 is 39474.
LCM(51/97, 27/94, 86/650) = 39474
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 51/97,27/94,86/650
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 51,27,86
Least Common Multiple of Numerators i.e. LCM of 51,27,86 is 39474.
GCF of Denominators means GCF of 97,94,650 as per the given fractions.
GCF of 97,94,650 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 51,27,86
3 | 51, 27, 86 |
17, 9, 86 |
∴ So the LCM of the given numbers is 3 x 17 x 9 x 86 = 39474
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 51,27,86 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,27,86) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(51,27,86) x common factors =1 x 3 = 3
LCM(51,27,86) = ( 51 × 27 × 86 ) / 3
LCM(51,27,86) = 118422 / 3
LCM(51,27,86) = 39474
Lets's calculate GCF of 97,94,650
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39474/1
Therefore the LCM of Fractions 51/97,27/94,86/650 is 39474
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 650
List of positive integer factors of 650 that divides 650 without a remainder.
1,2,5,10,13,25,26,50,65,130,325,650
Greatest Common Factor
We found the factors 97,94,650 . The biggest common factor number is the GCF number.
So the greatest common factor 97,94,650 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 51/97, 27/94, 86/650?
Answer: LCM of Numerators as per given numbers 51/97, 27/94, 86/650 is
LCM of Numerators i.e. for 51,27,86 is 39474
GCF of denominators i.e. for 97,94,650 is 1.
Thus, LCM of Fractions is 39474.Finally, LCM of Fractions for 51/97, 27/94, 86/650 is 39474.