Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 69/37, 357/40, 463/949 quickly i.e. 3801693 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 69/37, 357/40, 463/949 is 3801693.
LCM(69/37, 357/40, 463/949) = 3801693
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 69/37,357/40,463/949
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 69,357,463
Least Common Multiple of Numerators i.e. LCM of 69,357,463 is 3801693.
GCF of Denominators means GCF of 37,40,949 as per the given fractions.
GCF of 37,40,949 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 69,357,463
3 | 69, 357, 463 |
23, 119, 463 |
∴ So the LCM of the given numbers is 3 x 23 x 119 x 463 = 3801693
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 69,357,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,357,463) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(69,357,463) x common factors =1 x 3 = 3
LCM(69,357,463) = ( 69 × 357 × 463 ) / 3
LCM(69,357,463) = 11405079 / 3
LCM(69,357,463) = 3801693
Lets's calculate GCF of 37,40,949
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3801693/1
Therefore the LCM of Fractions 69/37,357/40,463/949 is 3801693
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 949
List of positive integer factors of 949 that divides 949 without a remainder.
1,13,73,949
Greatest Common Factor
We found the factors 37,40,949 . The biggest common factor number is the GCF number.
So the greatest common factor 37,40,949 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 69/37, 357/40, 463/949?
Answer: LCM of Numerators as per given numbers 69/37, 357/40, 463/949 is
LCM of Numerators i.e. for 69,357,463 is 3801693
GCF of denominators i.e. for 37,40,949 is 1.
Thus, LCM of Fractions is 3801693.Finally, LCM of Fractions for 69/37, 357/40, 463/949 is 3801693.