Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/64, 925/62, 155/482 quickly i.e. 630850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/64, 925/62, 155/482 is 630850.
LCM(44/64, 925/62, 155/482) = 630850
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/64,925/62,155/482
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 44,925,155
Least Common Multiple of Numerators i.e. LCM of 44,925,155 is 1261700.
GCF of Denominators means GCF of 64,62,482 as per the given fractions.
GCF of 64,62,482 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,925,155
5 | 44, 925, 155 |
44, 185, 31 |
∴ So the LCM of the given numbers is 5 x 44 x 185 x 31 = 1261700
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 44,925,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,925,155) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(44,925,155) x common factors =1 x 5 = 5
LCM(44,925,155) = ( 44 × 925 × 155 ) / 5
LCM(44,925,155) = 6308500 / 5
LCM(44,925,155) = 1261700
Lets's calculate GCF of 64,62,482
2 | 64, 62, 482 |
32, 31, 241 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1261700/2
Therefore the LCM of Fractions 44/64,925/62,155/482 is 630850
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 482
List of positive integer factors of 482 that divides 482 without a remainder.
1,2,241,482
Greatest Common Factor
We found the factors 64,62,482 . The biggest common factor number is the GCF number.
So the greatest common factor 64,62,482 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 44/64, 925/62, 155/482?
Answer: LCM of Numerators as per given numbers 44/64, 925/62, 155/482 is
LCM of Numerators i.e. for 44,925,155 is 1261700
GCF of denominators i.e. for 64,62,482 is 2.
Thus, LCM of Fractions is 630850.Finally, LCM of Fractions for 44/64, 925/62, 155/482 is 630850.