Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 45/540, 98/799, 315/759 quickly i.e. 4410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 45/540, 98/799, 315/759 is 4410.
LCM(45/540, 98/799, 315/759) = 4410
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 45/540,98/799,315/759
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 45,98,315
Least Common Multiple of Numerators i.e. LCM of 45,98,315 is 4410.
GCF of Denominators means GCF of 540,799,759 as per the given fractions.
GCF of 540,799,759 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 45,98,315
3 | 45, 98, 315 |
3 | 15, 98, 105 |
5 | 5, 98, 35 |
7 | 1, 98, 7 |
1, 14, 1 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 7 x 1 x 14 x 1 = 4410
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 45,98,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,98,315) = 1
common factors(in case of two or more numbers have common factors) = 315
GCF(45,98,315) x common factors =1 x 315 = 315
LCM(45,98,315) = ( 45 × 98 × 315 ) / 315
LCM(45,98,315) = 1389150 / 315
LCM(45,98,315) = 4410
Lets's calculate GCF of 540,799,759
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4410/1
Therefore the LCM of Fractions 45/540,98/799,315/759 is 4410
Factors of 540
List of positive integer factors of 540 that divides 540 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540
Factors of 799
List of positive integer factors of 799 that divides 799 without a remainder.
1,17,47,799
Factors of 759
List of positive integer factors of 759 that divides 759 without a remainder.
1,3,11,23,33,69,253,759
Greatest Common Factor
We found the factors 540,799,759 . The biggest common factor number is the GCF number.
So the greatest common factor 540,799,759 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 45/540, 98/799, 315/759?
Answer: LCM of Numerators as per given numbers 45/540, 98/799, 315/759 is
LCM of Numerators i.e. for 45,98,315 is 4410
GCF of denominators i.e. for 540,799,759 is 1.
Thus, LCM of Fractions is 4410.Finally, LCM of Fractions for 45/540, 98/799, 315/759 is 4410.