Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 37/30, 80/976, 656/628 quickly i.e. 60680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 37/30, 80/976, 656/628 is 60680.
LCM(37/30, 80/976, 656/628) = 60680
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 37/30,80/976,656/628
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 37,80,656
Least Common Multiple of Numerators i.e. LCM of 37,80,656 is 121360.
GCF of Denominators means GCF of 30,976,628 as per the given fractions.
GCF of 30,976,628 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 37,80,656
2 | 37, 80, 656 |
2 | 37, 40, 328 |
2 | 37, 20, 164 |
2 | 37, 10, 82 |
37, 5, 41 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 37 x 5 x 41 = 121360
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 37,80,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,80,656) = 1
common factors(in case of two or more numbers have common factors) = 16
GCF(37,80,656) x common factors =1 x 16 = 16
LCM(37,80,656) = ( 37 × 80 × 656 ) / 16
LCM(37,80,656) = 1941760 / 16
LCM(37,80,656) = 121360
Lets's calculate GCF of 30,976,628
2 | 30, 976, 628 |
15, 488, 314 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 121360/2
Therefore the LCM of Fractions 37/30,80/976,656/628 is 60680
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 976
List of positive integer factors of 976 that divides 976 without a remainder.
1,2,4,8,16,61,122,244,488,976
Factors of 628
List of positive integer factors of 628 that divides 628 without a remainder.
1,2,4,157,314,628
Greatest Common Factor
We found the factors 30,976,628 . The biggest common factor number is the GCF number.
So the greatest common factor 30,976,628 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 37/30, 80/976, 656/628?
Answer: LCM of Numerators as per given numbers 37/30, 80/976, 656/628 is
LCM of Numerators i.e. for 37,80,656 is 121360
GCF of denominators i.e. for 30,976,628 is 2.
Thus, LCM of Fractions is 60680.Finally, LCM of Fractions for 37/30, 80/976, 656/628 is 60680.