Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 49/807, 38/566, 685/490 quickly i.e. 1275470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 49/807, 38/566, 685/490 is 1275470.
LCM(49/807, 38/566, 685/490) = 1275470
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 49/807,38/566,685/490
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 49,38,685
Least Common Multiple of Numerators i.e. LCM of 49,38,685 is 1275470.
GCF of Denominators means GCF of 807,566,490 as per the given fractions.
GCF of 807,566,490 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 49,38,685
Given numbers has no common factors except 1. So, there LCM is their product i.e 1275470
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 49,38,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,38,685) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(49,38,685) x common factors =1 x 1 = 1
LCM(49,38,685) = ( 49 × 38 × 685 ) / 1
LCM(49,38,685) = 1275470 / 1
LCM(49,38,685) = 1275470
Lets's calculate GCF of 807,566,490
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1275470/1
Therefore the LCM of Fractions 49/807,38/566,685/490 is 1275470
Factors of 807
List of positive integer factors of 807 that divides 807 without a remainder.
1,3,269,807
Factors of 566
List of positive integer factors of 566 that divides 566 without a remainder.
1,2,283,566
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
Greatest Common Factor
We found the factors 807,566,490 . The biggest common factor number is the GCF number.
So the greatest common factor 807,566,490 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 49/807, 38/566, 685/490?
Answer: LCM of Numerators as per given numbers 49/807, 38/566, 685/490 is
LCM of Numerators i.e. for 49,38,685 is 1275470
GCF of denominators i.e. for 807,566,490 is 1.
Thus, LCM of Fractions is 1275470.Finally, LCM of Fractions for 49/807, 38/566, 685/490 is 1275470.