Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 79/603, 77/210, 497/372 quickly i.e. 431893/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 79/603, 77/210, 497/372 is 431893/3.
LCM(79/603, 77/210, 497/372) = 431893/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 79/603,77/210,497/372
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 79,77,497
Least Common Multiple of Numerators i.e. LCM of 79,77,497 is 431893.
GCF of Denominators means GCF of 603,210,372 as per the given fractions.
GCF of 603,210,372 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 79,77,497
7 | 79, 77, 497 |
79, 11, 71 |
∴ So the LCM of the given numbers is 7 x 79 x 11 x 71 = 431893
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 79,77,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,77,497) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(79,77,497) x common factors =1 x 7 = 7
LCM(79,77,497) = ( 79 × 77 × 497 ) / 7
LCM(79,77,497) = 3023251 / 7
LCM(79,77,497) = 431893
Lets's calculate GCF of 603,210,372
3 | 603, 210, 372 |
201, 70, 124 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 431893/3
Therefore the LCM of Fractions 79/603,77/210,497/372 is 431893/3
Factors of 603
List of positive integer factors of 603 that divides 603 without a remainder.
1,3,9,67,201,603
Factors of 210
List of positive integer factors of 210 that divides 210 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Factors of 372
List of positive integer factors of 372 that divides 372 without a remainder.
1,2,3,4,6,12,31,62,93,124,186,372
Greatest Common Factor
We found the factors 603,210,372 . The biggest common factor number is the GCF number.
So the greatest common factor 603,210,372 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 79/603, 77/210, 497/372?
Answer: LCM of Numerators as per given numbers 79/603, 77/210, 497/372 is
LCM of Numerators i.e. for 79,77,497 is 431893
GCF of denominators i.e. for 603,210,372 is 3.
Thus, LCM of Fractions is 431893/3.Finally, LCM of Fractions for 79/603, 77/210, 497/372 is 431893/3.