Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 616/659, 176/670, 603/671 quickly i.e. 742896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 616/659, 176/670, 603/671 is 742896.
LCM(616/659, 176/670, 603/671) = 742896
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 616/659,176/670,603/671
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 616,176,603
Least Common Multiple of Numerators i.e. LCM of 616,176,603 is 742896.
GCF of Denominators means GCF of 659,670,671 as per the given fractions.
GCF of 659,670,671 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 616,176,603
2 | 616, 176, 603 |
2 | 308, 88, 603 |
2 | 154, 44, 603 |
11 | 77, 22, 603 |
7, 2, 603 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 7 x 2 x 603 = 742896
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 616,176,603 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(616,176,603) = 1
common factors(in case of two or more numbers have common factors) = 88
GCF(616,176,603) x common factors =1 x 88 = 88
LCM(616,176,603) = ( 616 × 176 × 603 ) / 88
LCM(616,176,603) = 65374848 / 88
LCM(616,176,603) = 742896
Lets's calculate GCF of 659,670,671
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 742896/1
Therefore the LCM of Fractions 616/659,176/670,603/671 is 742896
Factors of 659
List of positive integer factors of 659 that divides 659 without a remainder.
1,659
Factors of 670
List of positive integer factors of 670 that divides 670 without a remainder.
1,2,5,10,67,134,335,670
Factors of 671
List of positive integer factors of 671 that divides 671 without a remainder.
1,11,61,671
Greatest Common Factor
We found the factors 659,670,671 . The biggest common factor number is the GCF number.
So the greatest common factor 659,670,671 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 616/659, 176/670, 603/671?
Answer: LCM of Numerators as per given numbers 616/659, 176/670, 603/671 is
LCM of Numerators i.e. for 616,176,603 is 742896
GCF of denominators i.e. for 659,670,671 is 1.
Thus, LCM of Fractions is 742896.Finally, LCM of Fractions for 616/659, 176/670, 603/671 is 742896.