Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 664/95, 508/32, 364/856 quickly i.e. 7673848 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 664/95, 508/32, 364/856 is 7673848.
LCM(664/95, 508/32, 364/856) = 7673848
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 664/95,508/32,364/856
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 664,508,364
Least Common Multiple of Numerators i.e. LCM of 664,508,364 is 7673848.
GCF of Denominators means GCF of 95,32,856 as per the given fractions.
GCF of 95,32,856 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 664,508,364
2 | 664, 508, 364 |
2 | 332, 254, 182 |
166, 127, 91 |
∴ So the LCM of the given numbers is 2 x 2 x 166 x 127 x 91 = 7673848
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 664,508,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(664,508,364) = 4
common factors(in case of two or more numbers have common factors) = 4
GCF(664,508,364) x common factors =4 x 4 = 16
LCM(664,508,364) = ( 664 × 508 × 364 ) / 16
LCM(664,508,364) = 122781568 / 16
LCM(664,508,364) = 7673848
Lets's calculate GCF of 95,32,856
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7673848/1
Therefore the LCM of Fractions 664/95,508/32,364/856 is 7673848
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 856
List of positive integer factors of 856 that divides 856 without a remainder.
1,2,4,8,107,214,428,856
Greatest Common Factor
We found the factors 95,32,856 . The biggest common factor number is the GCF number.
So the greatest common factor 95,32,856 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 664/95, 508/32, 364/856?
Answer: LCM of Numerators as per given numbers 664/95, 508/32, 364/856 is
LCM of Numerators i.e. for 664,508,364 is 7673848
GCF of denominators i.e. for 95,32,856 is 1.
Thus, LCM of Fractions is 7673848.Finally, LCM of Fractions for 664/95, 508/32, 364/856 is 7673848.