Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 467/58, 966/68, 347/772 quickly i.e. 78269667 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 467/58, 966/68, 347/772 is 78269667.
LCM(467/58, 966/68, 347/772) = 78269667
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 467/58,966/68,347/772
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 467,966,347
Least Common Multiple of Numerators i.e. LCM of 467,966,347 is 156539334.
GCF of Denominators means GCF of 58,68,772 as per the given fractions.
GCF of 58,68,772 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 467,966,347
Given numbers has no common factors except 1. So, there LCM is their product i.e 156539334
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 467,966,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(467,966,347) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(467,966,347) x common factors =1 x 1 = 1
LCM(467,966,347) = ( 467 × 966 × 347 ) / 1
LCM(467,966,347) = 156539334 / 1
LCM(467,966,347) = 156539334
Lets's calculate GCF of 58,68,772
2 | 58, 68, 772 |
29, 34, 386 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 156539334/2
Therefore the LCM of Fractions 467/58,966/68,347/772 is 78269667
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 772
List of positive integer factors of 772 that divides 772 without a remainder.
1,2,4,193,386,772
Greatest Common Factor
We found the factors 58,68,772 . The biggest common factor number is the GCF number.
So the greatest common factor 58,68,772 is 2.
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 467/58, 966/68, 347/772?
Answer: LCM of Numerators as per given numbers 467/58, 966/68, 347/772 is
LCM of Numerators i.e. for 467,966,347 is 156539334
GCF of denominators i.e. for 58,68,772 is 2.
Thus, LCM of Fractions is 78269667.Finally, LCM of Fractions for 467/58, 966/68, 347/772 is 78269667.