Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 68/220, 88/456, 234/182 quickly i.e. 87516 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 68/220, 88/456, 234/182 is 87516.
LCM(68/220, 88/456, 234/182) = 87516
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 68/220,88/456,234/182
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 68,88,234
Least Common Multiple of Numerators i.e. LCM of 68,88,234 is 175032.
GCF of Denominators means GCF of 220,456,182 as per the given fractions.
GCF of 220,456,182 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 68,88,234
2 | 68, 88, 234 |
2 | 34, 44, 117 |
17, 22, 117 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 22 x 117 = 175032
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 68,88,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,88,234) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(68,88,234) x common factors =2 x 4 = 8
LCM(68,88,234) = ( 68 × 88 × 234 ) / 8
LCM(68,88,234) = 1400256 / 8
LCM(68,88,234) = 175032
Lets's calculate GCF of 220,456,182
2 | 220, 456, 182 |
110, 228, 91 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 175032/2
Therefore the LCM of Fractions 68/220,88/456,234/182 is 87516
Factors of 220
List of positive integer factors of 220 that divides 220 without a remainder.
1,2,4,5,10,11,20,22,44,55,110,220
Factors of 456
List of positive integer factors of 456 that divides 456 without a remainder.
1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456
Factors of 182
List of positive integer factors of 182 that divides 182 without a remainder.
1,2,7,13,14,26,91,182
Greatest Common Factor
We found the factors 220,456,182 . The biggest common factor number is the GCF number.
So the greatest common factor 220,456,182 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 68/220, 88/456, 234/182?
Answer: LCM of Numerators as per given numbers 68/220, 88/456, 234/182 is
LCM of Numerators i.e. for 68,88,234 is 175032
GCF of denominators i.e. for 220,456,182 is 2.
Thus, LCM of Fractions is 87516.Finally, LCM of Fractions for 68/220, 88/456, 234/182 is 87516.