Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 51/48, 58/94, 67/90, 97/720 quickly i.e. 9612021 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 51/48, 58/94, 67/90, 97/720 is 9612021.
LCM(51/48, 58/94, 67/90, 97/720) = 9612021
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 51/48,58/94,67/90,97/720
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 51,58,67,97
Least Common Multiple of Numerators i.e. LCM of 51,58,67,97 is 19224042.
GCF of Denominators means GCF of 48,94,90,720 as per the given fractions.
GCF of 48,94,90,720 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 51,58,67,97
Given numbers has no common factors except 1. So, there LCM is their product i.e 19224042
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 51,58,67,97 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,58,67,97) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,58,67,97) x common factors =1 x 1 = 1
LCM(51,58,67,97) = ( 51 × 58 × 67 × 97 ) / 1
LCM(51,58,67,97) = 19224042 / 1
LCM(51,58,67,97) = 19224042
Lets's calculate GCF of 48,94,90,720
2 | 48, 94, 90, 720 |
24, 47, 45, 360 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19224042/2
Therefore the LCM of Fractions 51/48,58/94,67/90,97/720 is 9612021
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 720
List of positive integer factors of 720 that divides 720 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Greatest Common Factor
We found the factors 48,94,90,720 . The biggest common factor number is the GCF number.
So the greatest common factor 48,94,90,720 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 51/48, 58/94, 67/90, 97/720?
Answer: LCM of Numerators as per given numbers 51/48, 58/94, 67/90, 97/720 is
LCM of Numerators i.e. for 51,58,67,97 is 19224042
GCF of denominators i.e. for 48,94,90,720 is 2.
Thus, LCM of Fractions is 9612021.Finally, LCM of Fractions for 51/48, 58/94, 67/90, 97/720 is 9612021.