Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 145/955, 568/683, 267/840 quickly i.e. 21990120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 145/955, 568/683, 267/840 is 21990120.
LCM(145/955, 568/683, 267/840) = 21990120
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 145/955,568/683,267/840
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 145,568,267
Least Common Multiple of Numerators i.e. LCM of 145,568,267 is 21990120.
GCF of Denominators means GCF of 955,683,840 as per the given fractions.
GCF of 955,683,840 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 145,568,267
Given numbers has no common factors except 1. So, there LCM is their product i.e 21990120
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 145,568,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(145,568,267) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(145,568,267) x common factors =1 x 1 = 1
LCM(145,568,267) = ( 145 × 568 × 267 ) / 1
LCM(145,568,267) = 21990120 / 1
LCM(145,568,267) = 21990120
Lets's calculate GCF of 955,683,840
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21990120/1
Therefore the LCM of Fractions 145/955,568/683,267/840 is 21990120
Factors of 955
List of positive integer factors of 955 that divides 955 without a remainder.
1,5,191,955
Factors of 683
List of positive integer factors of 683 that divides 683 without a remainder.
1,683
Factors of 840
List of positive integer factors of 840 that divides 840 without a remainder.
1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840
Greatest Common Factor
We found the factors 955,683,840 . The biggest common factor number is the GCF number.
So the greatest common factor 955,683,840 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 145/955, 568/683, 267/840?
Answer: LCM of Numerators as per given numbers 145/955, 568/683, 267/840 is
LCM of Numerators i.e. for 145,568,267 is 21990120
GCF of denominators i.e. for 955,683,840 is 1.
Thus, LCM of Fractions is 21990120.Finally, LCM of Fractions for 145/955, 568/683, 267/840 is 21990120.