Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/388, 997/558, 370/754 quickly i.e. 16784495 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/388, 997/558, 370/754 is 16784495.
LCM(91/388, 997/558, 370/754) = 16784495
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/388,997/558,370/754
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 91,997,370
Least Common Multiple of Numerators i.e. LCM of 91,997,370 is 33568990.
GCF of Denominators means GCF of 388,558,754 as per the given fractions.
GCF of 388,558,754 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,997,370
Given numbers has no common factors except 1. So, there LCM is their product i.e 33568990
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 91,997,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,997,370) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,997,370) x common factors =1 x 1 = 1
LCM(91,997,370) = ( 91 × 997 × 370 ) / 1
LCM(91,997,370) = 33568990 / 1
LCM(91,997,370) = 33568990
Lets's calculate GCF of 388,558,754
2 | 388, 558, 754 |
194, 279, 377 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33568990/2
Therefore the LCM of Fractions 91/388,997/558,370/754 is 16784495
Factors of 388
List of positive integer factors of 388 that divides 388 without a remainder.
1,2,4,97,194,388
Factors of 558
List of positive integer factors of 558 that divides 558 without a remainder.
1,2,3,6,9,18,31,62,93,186,279,558
Factors of 754
List of positive integer factors of 754 that divides 754 without a remainder.
1,2,13,26,29,58,377,754
Greatest Common Factor
We found the factors 388,558,754 . The biggest common factor number is the GCF number.
So the greatest common factor 388,558,754 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 91/388, 997/558, 370/754?
Answer: LCM of Numerators as per given numbers 91/388, 997/558, 370/754 is
LCM of Numerators i.e. for 91,997,370 is 33568990
GCF of denominators i.e. for 388,558,754 is 2.
Thus, LCM of Fractions is 16784495.Finally, LCM of Fractions for 91/388, 997/558, 370/754 is 16784495.