Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 767/13, 344/61, 246/688 quickly i.e. 32453304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 767/13, 344/61, 246/688 is 32453304.
LCM(767/13, 344/61, 246/688) = 32453304
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 767/13,344/61,246/688
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 767,344,246
Least Common Multiple of Numerators i.e. LCM of 767,344,246 is 32453304.
GCF of Denominators means GCF of 13,61,688 as per the given fractions.
GCF of 13,61,688 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 767,344,246
2 | 767, 344, 246 |
767, 172, 123 |
∴ So the LCM of the given numbers is 2 x 767 x 172 x 123 = 32453304
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 767,344,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(767,344,246) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(767,344,246) x common factors =1 x 2 = 2
LCM(767,344,246) = ( 767 × 344 × 246 ) / 2
LCM(767,344,246) = 64906608 / 2
LCM(767,344,246) = 32453304
Lets's calculate GCF of 13,61,688
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32453304/1
Therefore the LCM of Fractions 767/13,344/61,246/688 is 32453304
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 688
List of positive integer factors of 688 that divides 688 without a remainder.
1,2,4,8,16,43,86,172,344,688
Greatest Common Factor
We found the factors 13,61,688 . The biggest common factor number is the GCF number.
So the greatest common factor 13,61,688 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 767/13, 344/61, 246/688?
Answer: LCM of Numerators as per given numbers 767/13, 344/61, 246/688 is
LCM of Numerators i.e. for 767,344,246 is 32453304
GCF of denominators i.e. for 13,61,688 is 1.
Thus, LCM of Fractions is 32453304.Finally, LCM of Fractions for 767/13, 344/61, 246/688 is 32453304.