Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/954, 71/325, 389/417 quickly i.e. 2430472 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/954, 71/325, 389/417 is 2430472.
LCM(88/954, 71/325, 389/417) = 2430472
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/954,71/325,389/417
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 88,71,389
Least Common Multiple of Numerators i.e. LCM of 88,71,389 is 2430472.
GCF of Denominators means GCF of 954,325,417 as per the given fractions.
GCF of 954,325,417 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,71,389
Given numbers has no common factors except 1. So, there LCM is their product i.e 2430472
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 88,71,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,71,389) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(88,71,389) x common factors =1 x 1 = 1
LCM(88,71,389) = ( 88 × 71 × 389 ) / 1
LCM(88,71,389) = 2430472 / 1
LCM(88,71,389) = 2430472
Lets's calculate GCF of 954,325,417
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2430472/1
Therefore the LCM of Fractions 88/954,71/325,389/417 is 2430472
Factors of 954
List of positive integer factors of 954 that divides 954 without a remainder.
1,2,3,6,9,18,53,106,159,318,477,954
Factors of 325
List of positive integer factors of 325 that divides 325 without a remainder.
1,5,13,25,65,325
Factors of 417
List of positive integer factors of 417 that divides 417 without a remainder.
1,3,139,417
Greatest Common Factor
We found the factors 954,325,417 . The biggest common factor number is the GCF number.
So the greatest common factor 954,325,417 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 88/954, 71/325, 389/417?
Answer: LCM of Numerators as per given numbers 88/954, 71/325, 389/417 is
LCM of Numerators i.e. for 88,71,389 is 2430472
GCF of denominators i.e. for 954,325,417 is 1.
Thus, LCM of Fractions is 2430472.Finally, LCM of Fractions for 88/954, 71/325, 389/417 is 2430472.