Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/47, 97/76, 46/97, 76/694 quickly i.e. 1865116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/47, 97/76, 46/97, 76/694 is 1865116.
LCM(11/47, 97/76, 46/97, 76/694) = 1865116
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/47,97/76,46/97,76/694
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 11,97,46,76
Least Common Multiple of Numerators i.e. LCM of 11,97,46,76 is 1865116.
GCF of Denominators means GCF of 47,76,97,694 as per the given fractions.
GCF of 47,76,97,694 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,97,46,76
2 | 11, 97, 46, 76 |
11, 97, 23, 38 |
∴ So the LCM of the given numbers is 2 x 11 x 97 x 23 x 38 = 1865116
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 11,97,46,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,97,46,76) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(11,97,46,76) x common factors =1 x 2 = 2
LCM(11,97,46,76) = ( 11 × 97 × 46 × 76 ) / 2
LCM(11,97,46,76) = 3730232 / 2
LCM(11,97,46,76) = 1865116
Lets's calculate GCF of 47,76,97,694
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1865116/1
Therefore the LCM of Fractions 11/47,97/76,46/97,76/694 is 1865116
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 694
List of positive integer factors of 694 that divides 694 without a remainder.
1,2,347,694
Greatest Common Factor
We found the factors 47,76,97,694 . The biggest common factor number is the GCF number.
So the greatest common factor 47,76,97,694 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 11/47, 97/76, 46/97, 76/694?
Answer: LCM of Numerators as per given numbers 11/47, 97/76, 46/97, 76/694 is
LCM of Numerators i.e. for 11,97,46,76 is 1865116
GCF of denominators i.e. for 47,76,97,694 is 1.
Thus, LCM of Fractions is 1865116.Finally, LCM of Fractions for 11/47, 97/76, 46/97, 76/694 is 1865116.