Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/564, 320/687, 739/570 quickly i.e. 11587520/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/564, 320/687, 739/570 is 11587520/3.
LCM(98/564, 320/687, 739/570) = 11587520/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/564,320/687,739/570
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 98,320,739
Least Common Multiple of Numerators i.e. LCM of 98,320,739 is 11587520.
GCF of Denominators means GCF of 564,687,570 as per the given fractions.
GCF of 564,687,570 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,320,739
2 | 98, 320, 739 |
49, 160, 739 |
∴ So the LCM of the given numbers is 2 x 49 x 160 x 739 = 11587520
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 98,320,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,320,739) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(98,320,739) x common factors =1 x 2 = 2
LCM(98,320,739) = ( 98 × 320 × 739 ) / 2
LCM(98,320,739) = 23175040 / 2
LCM(98,320,739) = 11587520
Lets's calculate GCF of 564,687,570
3 | 564, 687, 570 |
188, 229, 190 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11587520/3
Therefore the LCM of Fractions 98/564,320/687,739/570 is 11587520/3
Factors of 564
List of positive integer factors of 564 that divides 564 without a remainder.
1,2,3,4,6,12,47,94,141,188,282,564
Factors of 687
List of positive integer factors of 687 that divides 687 without a remainder.
1,3,229,687
Factors of 570
List of positive integer factors of 570 that divides 570 without a remainder.
1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570
Greatest Common Factor
We found the factors 564,687,570 . The biggest common factor number is the GCF number.
So the greatest common factor 564,687,570 is 3.
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 98/564, 320/687, 739/570?
Answer: LCM of Numerators as per given numbers 98/564, 320/687, 739/570 is
LCM of Numerators i.e. for 98,320,739 is 11587520
GCF of denominators i.e. for 564,687,570 is 3.
Thus, LCM of Fractions is 11587520/3.Finally, LCM of Fractions for 98/564, 320/687, 739/570 is 11587520/3.