Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 651/95, 844/75, 232/465 quickly i.e. 31867752/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 651/95, 844/75, 232/465 is 31867752/5.
LCM(651/95, 844/75, 232/465) = 31867752/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 651/95,844/75,232/465
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 651,844,232
Least Common Multiple of Numerators i.e. LCM of 651,844,232 is 31867752.
GCF of Denominators means GCF of 95,75,465 as per the given fractions.
GCF of 95,75,465 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 651,844,232
2 | 651, 844, 232 |
2 | 651, 422, 116 |
651, 211, 58 |
∴ So the LCM of the given numbers is 2 x 2 x 651 x 211 x 58 = 31867752
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 651,844,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,844,232) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(651,844,232) x common factors =1 x 4 = 4
LCM(651,844,232) = ( 651 × 844 × 232 ) / 4
LCM(651,844,232) = 127471008 / 4
LCM(651,844,232) = 31867752
Lets's calculate GCF of 95,75,465
5 | 95, 75, 465 |
19, 15, 93 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31867752/5
Therefore the LCM of Fractions 651/95,844/75,232/465 is 31867752/5
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 465
List of positive integer factors of 465 that divides 465 without a remainder.
1,3,5,15,31,93,155,465
Greatest Common Factor
We found the factors 95,75,465 . The biggest common factor number is the GCF number.
So the greatest common factor 95,75,465 is 5.
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 651/95, 844/75, 232/465?
Answer: LCM of Numerators as per given numbers 651/95, 844/75, 232/465 is
LCM of Numerators i.e. for 651,844,232 is 31867752
GCF of denominators i.e. for 95,75,465 is 5.
Thus, LCM of Fractions is 31867752/5.Finally, LCM of Fractions for 651/95, 844/75, 232/465 is 31867752/5.