Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 130/668, 151/303, 947/122 quickly i.e. 18589610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 130/668, 151/303, 947/122 is 18589610.
LCM(130/668, 151/303, 947/122) = 18589610
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 130/668,151/303,947/122
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 130,151,947
Least Common Multiple of Numerators i.e. LCM of 130,151,947 is 18589610.
GCF of Denominators means GCF of 668,303,122 as per the given fractions.
GCF of 668,303,122 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 130,151,947
Given numbers has no common factors except 1. So, there LCM is their product i.e 18589610
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 130,151,947 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,151,947) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(130,151,947) x common factors =1 x 1 = 1
LCM(130,151,947) = ( 130 × 151 × 947 ) / 1
LCM(130,151,947) = 18589610 / 1
LCM(130,151,947) = 18589610
Lets's calculate GCF of 668,303,122
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18589610/1
Therefore the LCM of Fractions 130/668,151/303,947/122 is 18589610
Factors of 668
List of positive integer factors of 668 that divides 668 without a remainder.
1,2,4,167,334,668
Factors of 303
List of positive integer factors of 303 that divides 303 without a remainder.
1,3,101,303
Factors of 122
List of positive integer factors of 122 that divides 122 without a remainder.
1,2,61,122
Greatest Common Factor
We found the factors 668,303,122 . The biggest common factor number is the GCF number.
So the greatest common factor 668,303,122 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 130/668, 151/303, 947/122?
Answer: LCM of Numerators as per given numbers 130/668, 151/303, 947/122 is
LCM of Numerators i.e. for 130,151,947 is 18589610
GCF of denominators i.e. for 668,303,122 is 1.
Thus, LCM of Fractions is 18589610.Finally, LCM of Fractions for 130/668, 151/303, 947/122 is 18589610.