Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 939/652, 351/132, 222/658 quickly i.e. 4064931 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 939/652, 351/132, 222/658 is 4064931.
LCM(939/652, 351/132, 222/658) = 4064931
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 939/652,351/132,222/658
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 939,351,222
Least Common Multiple of Numerators i.e. LCM of 939,351,222 is 8129862.
GCF of Denominators means GCF of 652,132,658 as per the given fractions.
GCF of 652,132,658 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 939,351,222
3 | 939, 351, 222 |
313, 117, 74 |
∴ So the LCM of the given numbers is 3 x 313 x 117 x 74 = 8129862
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 939,351,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(939,351,222) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(939,351,222) x common factors =3 x 3 = 9
LCM(939,351,222) = ( 939 × 351 × 222 ) / 9
LCM(939,351,222) = 73168758 / 9
LCM(939,351,222) = 8129862
Lets's calculate GCF of 652,132,658
2 | 652, 132, 658 |
326, 66, 329 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8129862/2
Therefore the LCM of Fractions 939/652,351/132,222/658 is 4064931
Factors of 652
List of positive integer factors of 652 that divides 652 without a remainder.
1,2,4,163,326,652
Factors of 132
List of positive integer factors of 132 that divides 132 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,132
Factors of 658
List of positive integer factors of 658 that divides 658 without a remainder.
1,2,7,14,47,94,329,658
Greatest Common Factor
We found the factors 652,132,658 . The biggest common factor number is the GCF number.
So the greatest common factor 652,132,658 is 2.
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 939/652, 351/132, 222/658?
Answer: LCM of Numerators as per given numbers 939/652, 351/132, 222/658 is
LCM of Numerators i.e. for 939,351,222 is 8129862
GCF of denominators i.e. for 652,132,658 is 2.
Thus, LCM of Fractions is 4064931.Finally, LCM of Fractions for 939/652, 351/132, 222/658 is 4064931.