Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 448/898, 379/925, 750/865 quickly i.e. 63672000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 448/898, 379/925, 750/865 is 63672000.
LCM(448/898, 379/925, 750/865) = 63672000
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 448/898,379/925,750/865
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 448,379,750
Least Common Multiple of Numerators i.e. LCM of 448,379,750 is 63672000.
GCF of Denominators means GCF of 898,925,865 as per the given fractions.
GCF of 898,925,865 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 448,379,750
2 | 448, 379, 750 |
224, 379, 375 |
∴ So the LCM of the given numbers is 2 x 224 x 379 x 375 = 63672000
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 448,379,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(448,379,750) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(448,379,750) x common factors =1 x 2 = 2
LCM(448,379,750) = ( 448 × 379 × 750 ) / 2
LCM(448,379,750) = 127344000 / 2
LCM(448,379,750) = 63672000
Lets's calculate GCF of 898,925,865
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63672000/1
Therefore the LCM of Fractions 448/898,379/925,750/865 is 63672000
Factors of 898
List of positive integer factors of 898 that divides 898 without a remainder.
1,2,449,898
Factors of 925
List of positive integer factors of 925 that divides 925 without a remainder.
1,5,25,37,185,925
Factors of 865
List of positive integer factors of 865 that divides 865 without a remainder.
1,5,173,865
Greatest Common Factor
We found the factors 898,925,865 . The biggest common factor number is the GCF number.
So the greatest common factor 898,925,865 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 448/898, 379/925, 750/865?
Answer: LCM of Numerators as per given numbers 448/898, 379/925, 750/865 is
LCM of Numerators i.e. for 448,379,750 is 63672000
GCF of denominators i.e. for 898,925,865 is 1.
Thus, LCM of Fractions is 63672000.Finally, LCM of Fractions for 448/898, 379/925, 750/865 is 63672000.