Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 75/98, 450/24, 628/724 quickly i.e. 70650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 75/98, 450/24, 628/724 is 70650.
LCM(75/98, 450/24, 628/724) = 70650
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 75/98,450/24,628/724
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 75,450,628
Least Common Multiple of Numerators i.e. LCM of 75,450,628 is 141300.
GCF of Denominators means GCF of 98,24,724 as per the given fractions.
GCF of 98,24,724 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 75,450,628
2 | 75, 450, 628 |
3 | 75, 225, 314 |
5 | 25, 75, 314 |
5 | 5, 15, 314 |
1, 3, 314 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 1 x 3 x 314 = 141300
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 75,450,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,450,628) = 1
common factors(in case of two or more numbers have common factors) = 150
GCF(75,450,628) x common factors =1 x 150 = 150
LCM(75,450,628) = ( 75 × 450 × 628 ) / 150
LCM(75,450,628) = 21195000 / 150
LCM(75,450,628) = 141300
Lets's calculate GCF of 98,24,724
2 | 98, 24, 724 |
49, 12, 362 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 141300/2
Therefore the LCM of Fractions 75/98,450/24,628/724 is 70650
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 724
List of positive integer factors of 724 that divides 724 without a remainder.
1,2,4,181,362,724
Greatest Common Factor
We found the factors 98,24,724 . The biggest common factor number is the GCF number.
So the greatest common factor 98,24,724 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 75/98, 450/24, 628/724?
Answer: LCM of Numerators as per given numbers 75/98, 450/24, 628/724 is
LCM of Numerators i.e. for 75,450,628 is 141300
GCF of denominators i.e. for 98,24,724 is 2.
Thus, LCM of Fractions is 70650.Finally, LCM of Fractions for 75/98, 450/24, 628/724 is 70650.