Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 35/972, 877/939, 570/603 quickly i.e. 1166410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 35/972, 877/939, 570/603 is 1166410.
LCM(35/972, 877/939, 570/603) = 1166410
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 35/972,877/939,570/603
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 35,877,570
Least Common Multiple of Numerators i.e. LCM of 35,877,570 is 3499230.
GCF of Denominators means GCF of 972,939,603 as per the given fractions.
GCF of 972,939,603 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 35,877,570
5 | 35, 877, 570 |
7, 877, 114 |
∴ So the LCM of the given numbers is 5 x 7 x 877 x 114 = 3499230
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 35,877,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,877,570) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(35,877,570) x common factors =1 x 5 = 5
LCM(35,877,570) = ( 35 × 877 × 570 ) / 5
LCM(35,877,570) = 17496150 / 5
LCM(35,877,570) = 3499230
Lets's calculate GCF of 972,939,603
3 | 972, 939, 603 |
324, 313, 201 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3499230/3
Therefore the LCM of Fractions 35/972,877/939,570/603 is 1166410
Factors of 972
List of positive integer factors of 972 that divides 972 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972
Factors of 939
List of positive integer factors of 939 that divides 939 without a remainder.
1,3,313,939
Factors of 603
List of positive integer factors of 603 that divides 603 without a remainder.
1,3,9,67,201,603
Greatest Common Factor
We found the factors 972,939,603 . The biggest common factor number is the GCF number.
So the greatest common factor 972,939,603 is 3.
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 35/972, 877/939, 570/603?
Answer: LCM of Numerators as per given numbers 35/972, 877/939, 570/603 is
LCM of Numerators i.e. for 35,877,570 is 3499230
GCF of denominators i.e. for 972,939,603 is 3.
Thus, LCM of Fractions is 1166410.Finally, LCM of Fractions for 35/972, 877/939, 570/603 is 1166410.