Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 247/645, 276/182, 467/767 quickly i.e. 31836324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 247/645, 276/182, 467/767 is 31836324.
LCM(247/645, 276/182, 467/767) = 31836324
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 247/645,276/182,467/767
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 247,276,467
Least Common Multiple of Numerators i.e. LCM of 247,276,467 is 31836324.
GCF of Denominators means GCF of 645,182,767 as per the given fractions.
GCF of 645,182,767 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 247,276,467
Given numbers has no common factors except 1. So, there LCM is their product i.e 31836324
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 247,276,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(247,276,467) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(247,276,467) x common factors =1 x 1 = 1
LCM(247,276,467) = ( 247 × 276 × 467 ) / 1
LCM(247,276,467) = 31836324 / 1
LCM(247,276,467) = 31836324
Lets's calculate GCF of 645,182,767
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31836324/1
Therefore the LCM of Fractions 247/645,276/182,467/767 is 31836324
Factors of 645
List of positive integer factors of 645 that divides 645 without a remainder.
1,3,5,15,43,129,215,645
Factors of 182
List of positive integer factors of 182 that divides 182 without a remainder.
1,2,7,13,14,26,91,182
Factors of 767
List of positive integer factors of 767 that divides 767 without a remainder.
1,13,59,767
Greatest Common Factor
We found the factors 645,182,767 . The biggest common factor number is the GCF number.
So the greatest common factor 645,182,767 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 247/645, 276/182, 467/767?
Answer: LCM of Numerators as per given numbers 247/645, 276/182, 467/767 is
LCM of Numerators i.e. for 247,276,467 is 31836324
GCF of denominators i.e. for 645,182,767 is 1.
Thus, LCM of Fractions is 31836324.Finally, LCM of Fractions for 247/645, 276/182, 467/767 is 31836324.