Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 760/518, 8104/7648 quickly i.e. 384940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 760/518, 8104/7648 is 384940.
LCM(760/518, 8104/7648) = 384940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 760/518,8104/7648
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 760,8104
Least Common Multiple of Numerators i.e. LCM of 760,8104 is 769880.
GCF of Denominators means GCF of 518,7648 as per the given fractions.
GCF of 518,7648 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 760,8104
2 | 760, 8104 |
2 | 380, 4052 |
2 | 190, 2026 |
95, 1013 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 95 x 1013 = 769880
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 760,8104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(760,8104) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(760,8104) x common factors =8 x 1 = 8
LCM(760,8104) = ( 760 × 8104 ) / 8
LCM(760,8104) = 6159040 / 8
LCM(760,8104) = 769880
Lets's calculate GCF of 518,7648
2 | 518, 7648 |
259, 3824 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 769880/2
Therefore the LCM of Fractions 760/518,8104/7648 is 384940
Factors of 518
List of positive integer factors of 518 that divides 518 without a remainder.
1,2,7,14,37,74,259,518
Factors of 7648
List of positive integer factors of 7648 that divides 7648 without a remainder.
1,2,4,8,16,32,239,478,956,1912,3824,7648
Greatest Common Factor
We found the factors 518,7648 . The biggest common factor number is the GCF number.
So the greatest common factor 518,7648 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 760/518, 8104/7648?
Answer: LCM of Numerators as per given numbers 760/518, 8104/7648 is
LCM of Numerators i.e. for 760,8104 is 769880
GCF of denominators i.e. for 518,7648 is 2.
Thus, LCM of Fractions is 384940.Finally, LCM of Fractions for 760/518, 8104/7648 is 384940.