Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/415, 925/915, 643/946 quickly i.e. 1189550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/415, 925/915, 643/946 is 1189550.
LCM(74/415, 925/915, 643/946) = 1189550
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/415,925/915,643/946
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 74,925,643
Least Common Multiple of Numerators i.e. LCM of 74,925,643 is 1189550.
GCF of Denominators means GCF of 415,915,946 as per the given fractions.
GCF of 415,915,946 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,925,643
37 | 74, 925, 643 |
2, 25, 643 |
∴ So the LCM of the given numbers is 37 x 2 x 25 x 643 = 1189550
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 74,925,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,925,643) = 1
common factors(in case of two or more numbers have common factors) = 37
GCF(74,925,643) x common factors =1 x 37 = 37
LCM(74,925,643) = ( 74 × 925 × 643 ) / 37
LCM(74,925,643) = 44013350 / 37
LCM(74,925,643) = 1189550
Lets's calculate GCF of 415,915,946
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1189550/1
Therefore the LCM of Fractions 74/415,925/915,643/946 is 1189550
Factors of 415
List of positive integer factors of 415 that divides 415 without a remainder.
1,5,83,415
Factors of 915
List of positive integer factors of 915 that divides 915 without a remainder.
1,3,5,15,61,183,305,915
Factors of 946
List of positive integer factors of 946 that divides 946 without a remainder.
1,2,11,22,43,86,473,946
Greatest Common Factor
We found the factors 415,915,946 . The biggest common factor number is the GCF number.
So the greatest common factor 415,915,946 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 74/415, 925/915, 643/946?
Answer: LCM of Numerators as per given numbers 74/415, 925/915, 643/946 is
LCM of Numerators i.e. for 74,925,643 is 1189550
GCF of denominators i.e. for 415,915,946 is 1.
Thus, LCM of Fractions is 1189550.Finally, LCM of Fractions for 74/415, 925/915, 643/946 is 1189550.