Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 973/695, 371/647, 689/303 quickly i.e. 670397 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 973/695, 371/647, 689/303 is 670397.
LCM(973/695, 371/647, 689/303) = 670397
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 973/695,371/647,689/303
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 973,371,689
Least Common Multiple of Numerators i.e. LCM of 973,371,689 is 670397.
GCF of Denominators means GCF of 695,647,303 as per the given fractions.
GCF of 695,647,303 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 973,371,689
7 | 973, 371, 689 |
53 | 139, 53, 689 |
139, 1, 13 |
∴ So the LCM of the given numbers is 7 x 53 x 139 x 1 x 13 = 670397
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 973,371,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(973,371,689) = 1
common factors(in case of two or more numbers have common factors) = 371
GCF(973,371,689) x common factors =1 x 371 = 371
LCM(973,371,689) = ( 973 × 371 × 689 ) / 371
LCM(973,371,689) = 248717287 / 371
LCM(973,371,689) = 670397
Lets's calculate GCF of 695,647,303
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 670397/1
Therefore the LCM of Fractions 973/695,371/647,689/303 is 670397
Factors of 695
List of positive integer factors of 695 that divides 695 without a remainder.
1,5,139,695
Factors of 647
List of positive integer factors of 647 that divides 647 without a remainder.
1,647
Factors of 303
List of positive integer factors of 303 that divides 303 without a remainder.
1,3,101,303
Greatest Common Factor
We found the factors 695,647,303 . The biggest common factor number is the GCF number.
So the greatest common factor 695,647,303 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 973/695, 371/647, 689/303?
Answer: LCM of Numerators as per given numbers 973/695, 371/647, 689/303 is
LCM of Numerators i.e. for 973,371,689 is 670397
GCF of denominators i.e. for 695,647,303 is 1.
Thus, LCM of Fractions is 670397.Finally, LCM of Fractions for 973/695, 371/647, 689/303 is 670397.