Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 688/73, 459/12, 440/216 quickly i.e. 17368560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 688/73, 459/12, 440/216 is 17368560.
LCM(688/73, 459/12, 440/216) = 17368560
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 688/73,459/12,440/216
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 688,459,440
Least Common Multiple of Numerators i.e. LCM of 688,459,440 is 17368560.
GCF of Denominators means GCF of 73,12,216 as per the given fractions.
GCF of 73,12,216 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 688,459,440
2 | 688, 459, 440 |
2 | 344, 459, 220 |
2 | 172, 459, 110 |
86, 459, 55 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 86 x 459 x 55 = 17368560
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 688,459,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,459,440) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(688,459,440) x common factors =1 x 8 = 8
LCM(688,459,440) = ( 688 × 459 × 440 ) / 8
LCM(688,459,440) = 138948480 / 8
LCM(688,459,440) = 17368560
Lets's calculate GCF of 73,12,216
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17368560/1
Therefore the LCM of Fractions 688/73,459/12,440/216 is 17368560
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 216
List of positive integer factors of 216 that divides 216 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
Greatest Common Factor
We found the factors 73,12,216 . The biggest common factor number is the GCF number.
So the greatest common factor 73,12,216 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 688/73, 459/12, 440/216?
Answer: LCM of Numerators as per given numbers 688/73, 459/12, 440/216 is
LCM of Numerators i.e. for 688,459,440 is 17368560
GCF of denominators i.e. for 73,12,216 is 1.
Thus, LCM of Fractions is 17368560.Finally, LCM of Fractions for 688/73, 459/12, 440/216 is 17368560.