Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 769/490, 8441/465 quickly i.e. 6491129/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 769/490, 8441/465 is 6491129/5.
LCM(769/490, 8441/465) = 6491129/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 769/490,8441/465
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 769,8441
Least Common Multiple of Numerators i.e. LCM of 769,8441 is 6491129.
GCF of Denominators means GCF of 490,465 as per the given fractions.
GCF of 490,465 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 769,8441
Given numbers has no common factors except 1. So, there LCM is their product i.e 6491129
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 769,8441 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(769,8441) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(769,8441) x common factors =1 x 1 = 1
LCM(769,8441) = ( 769 × 8441 ) / 1
LCM(769,8441) = 6491129 / 1
LCM(769,8441) = 6491129
Lets's calculate GCF of 490,465
5 | 490, 465 |
98, 93 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6491129/5
Therefore the LCM of Fractions 769/490,8441/465 is 6491129/5
Factors of 490
List of positive integer factors of 490 that divides 490 without a remainder.
1,2,5,7,10,14,35,49,70,98,245,490
Factors of 465
List of positive integer factors of 465 that divides 465 without a remainder.
1,3,5,15,31,93,155,465
Greatest Common Factor
We found the factors 490,465 . The biggest common factor number is the GCF number.
So the greatest common factor 490,465 is 5.
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 769/490, 8441/465?
Answer: LCM of Numerators as per given numbers 769/490, 8441/465 is
LCM of Numerators i.e. for 769,8441 is 6491129
GCF of denominators i.e. for 490,465 is 5.
Thus, LCM of Fractions is 6491129/5.Finally, LCM of Fractions for 769/490, 8441/465 is 6491129/5.