Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 602/84, 910/95, 433/947 quickly i.e. 16943290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 602/84, 910/95, 433/947 is 16943290.
LCM(602/84, 910/95, 433/947) = 16943290
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 602/84,910/95,433/947
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 602,910,433
Least Common Multiple of Numerators i.e. LCM of 602,910,433 is 16943290.
GCF of Denominators means GCF of 84,95,947 as per the given fractions.
GCF of 84,95,947 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 602,910,433
2 | 602, 910, 433 |
7 | 301, 455, 433 |
43, 65, 433 |
∴ So the LCM of the given numbers is 2 x 7 x 43 x 65 x 433 = 16943290
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 602,910,433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(602,910,433) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(602,910,433) x common factors =1 x 14 = 14
LCM(602,910,433) = ( 602 × 910 × 433 ) / 14
LCM(602,910,433) = 237206060 / 14
LCM(602,910,433) = 16943290
Lets's calculate GCF of 84,95,947
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16943290/1
Therefore the LCM of Fractions 602/84,910/95,433/947 is 16943290
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 947
List of positive integer factors of 947 that divides 947 without a remainder.
1,947
Greatest Common Factor
We found the factors 84,95,947 . The biggest common factor number is the GCF number.
So the greatest common factor 84,95,947 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 602/84, 910/95, 433/947?
Answer: LCM of Numerators as per given numbers 602/84, 910/95, 433/947 is
LCM of Numerators i.e. for 602,910,433 is 16943290
GCF of denominators i.e. for 84,95,947 is 1.
Thus, LCM of Fractions is 16943290.Finally, LCM of Fractions for 602/84, 910/95, 433/947 is 16943290.