Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 14/122, 744/979, 460/900 quickly i.e. 598920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 14/122, 744/979, 460/900 is 598920.
LCM(14/122, 744/979, 460/900) = 598920
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 14/122,744/979,460/900
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 14,744,460
Least Common Multiple of Numerators i.e. LCM of 14,744,460 is 598920.
GCF of Denominators means GCF of 122,979,900 as per the given fractions.
GCF of 122,979,900 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 14,744,460
2 | 14, 744, 460 |
2 | 7, 372, 230 |
7, 186, 115 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 186 x 115 = 598920
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 14,744,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,744,460) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(14,744,460) x common factors =2 x 4 = 8
LCM(14,744,460) = ( 14 × 744 × 460 ) / 8
LCM(14,744,460) = 4791360 / 8
LCM(14,744,460) = 598920
Lets's calculate GCF of 122,979,900
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 598920/1
Therefore the LCM of Fractions 14/122,744/979,460/900 is 598920
Factors of 122
List of positive integer factors of 122 that divides 122 without a remainder.
1,2,61,122
Factors of 979
List of positive integer factors of 979 that divides 979 without a remainder.
1,11,89,979
Factors of 900
List of positive integer factors of 900 that divides 900 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
Greatest Common Factor
We found the factors 122,979,900 . The biggest common factor number is the GCF number.
So the greatest common factor 122,979,900 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 14/122, 744/979, 460/900?
Answer: LCM of Numerators as per given numbers 14/122, 744/979, 460/900 is
LCM of Numerators i.e. for 14,744,460 is 598920
GCF of denominators i.e. for 122,979,900 is 1.
Thus, LCM of Fractions is 598920.Finally, LCM of Fractions for 14/122, 744/979, 460/900 is 598920.