Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/93, 26/11, 36/45, 78/628 quickly i.e. 9360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/93, 26/11, 36/45, 78/628 is 9360.
LCM(80/93, 26/11, 36/45, 78/628) = 9360
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/93,26/11,36/45,78/628
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 80,26,36,78
Least Common Multiple of Numerators i.e. LCM of 80,26,36,78 is 9360.
GCF of Denominators means GCF of 93,11,45,628 as per the given fractions.
GCF of 93,11,45,628 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,26,36,78
2 | 80, 26, 36, 78 |
2 | 40, 13, 18, 39 |
3 | 20, 13, 9, 39 |
13 | 20, 13, 3, 13 |
20, 1, 3, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 20 x 1 x 3 x 1 = 9360
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 80,26,36,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,26,36,78) = 2
common factors(in case of two or more numbers have common factors) = 312
GCF(80,26,36,78) x common factors =2 x 312 = 624
LCM(80,26,36,78) = ( 80 × 26 × 36 × 78 ) / 624
LCM(80,26,36,78) = 5840640 / 624
LCM(80,26,36,78) = 9360
Lets's calculate GCF of 93,11,45,628
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9360/1
Therefore the LCM of Fractions 80/93,26/11,36/45,78/628 is 9360
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
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 93,11,45,628 . The biggest common factor number is the GCF number.
So the greatest common factor 93,11,45,628 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 80/93, 26/11, 36/45, 78/628?
Answer: LCM of Numerators as per given numbers 80/93, 26/11, 36/45, 78/628 is
LCM of Numerators i.e. for 80,26,36,78 is 9360
GCF of denominators i.e. for 93,11,45,628 is 1.
Thus, LCM of Fractions is 9360.Finally, LCM of Fractions for 80/93, 26/11, 36/45, 78/628 is 9360.