Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/750, 907/160, 698/737 quickly i.e. 13927892 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/750, 907/160, 698/737 is 13927892.
LCM(44/750, 907/160, 698/737) = 13927892
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/750,907/160,698/737
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 44,907,698
Least Common Multiple of Numerators i.e. LCM of 44,907,698 is 13927892.
GCF of Denominators means GCF of 750,160,737 as per the given fractions.
GCF of 750,160,737 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,907,698
2 | 44, 907, 698 |
22, 907, 349 |
∴ So the LCM of the given numbers is 2 x 22 x 907 x 349 = 13927892
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 44,907,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,907,698) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(44,907,698) x common factors =1 x 2 = 2
LCM(44,907,698) = ( 44 × 907 × 698 ) / 2
LCM(44,907,698) = 27855784 / 2
LCM(44,907,698) = 13927892
Lets's calculate GCF of 750,160,737
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13927892/1
Therefore the LCM of Fractions 44/750,907/160,698/737 is 13927892
Factors of 750
List of positive integer factors of 750 that divides 750 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750
Factors of 160
List of positive integer factors of 160 that divides 160 without a remainder.
1,2,4,5,8,10,16,20,32,40,80,160
Factors of 737
List of positive integer factors of 737 that divides 737 without a remainder.
1,11,67,737
Greatest Common Factor
We found the factors 750,160,737 . The biggest common factor number is the GCF number.
So the greatest common factor 750,160,737 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 44/750, 907/160, 698/737?
Answer: LCM of Numerators as per given numbers 44/750, 907/160, 698/737 is
LCM of Numerators i.e. for 44,907,698 is 13927892
GCF of denominators i.e. for 750,160,737 is 1.
Thus, LCM of Fractions is 13927892.Finally, LCM of Fractions for 44/750, 907/160, 698/737 is 13927892.