Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 912/43, 146/93, 601/958 quickly i.e. 40012176 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 912/43, 146/93, 601/958 is 40012176.
LCM(912/43, 146/93, 601/958) = 40012176
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 912/43,146/93,601/958
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 912,146,601
Least Common Multiple of Numerators i.e. LCM of 912,146,601 is 40012176.
GCF of Denominators means GCF of 43,93,958 as per the given fractions.
GCF of 43,93,958 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 912,146,601
2 | 912, 146, 601 |
456, 73, 601 |
∴ So the LCM of the given numbers is 2 x 456 x 73 x 601 = 40012176
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 912,146,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(912,146,601) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(912,146,601) x common factors =1 x 2 = 2
LCM(912,146,601) = ( 912 × 146 × 601 ) / 2
LCM(912,146,601) = 80024352 / 2
LCM(912,146,601) = 40012176
Lets's calculate GCF of 43,93,958
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40012176/1
Therefore the LCM of Fractions 912/43,146/93,601/958 is 40012176
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 958
List of positive integer factors of 958 that divides 958 without a remainder.
1,2,479,958
Greatest Common Factor
We found the factors 43,93,958 . The biggest common factor number is the GCF number.
So the greatest common factor 43,93,958 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 912/43, 146/93, 601/958?
Answer: LCM of Numerators as per given numbers 912/43, 146/93, 601/958 is
LCM of Numerators i.e. for 912,146,601 is 40012176
GCF of denominators i.e. for 43,93,958 is 1.
Thus, LCM of Fractions is 40012176.Finally, LCM of Fractions for 912/43, 146/93, 601/958 is 40012176.