Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/902, 61/695, 110/759 quickly i.e. 214720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/902, 61/695, 110/759 is 214720.
LCM(64/902, 61/695, 110/759) = 214720
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/902,61/695,110/759
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 64,61,110
Least Common Multiple of Numerators i.e. LCM of 64,61,110 is 214720.
GCF of Denominators means GCF of 902,695,759 as per the given fractions.
GCF of 902,695,759 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,61,110
2 | 64, 61, 110 |
32, 61, 55 |
∴ So the LCM of the given numbers is 2 x 32 x 61 x 55 = 214720
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 64,61,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,61,110) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(64,61,110) x common factors =1 x 2 = 2
LCM(64,61,110) = ( 64 × 61 × 110 ) / 2
LCM(64,61,110) = 429440 / 2
LCM(64,61,110) = 214720
Lets's calculate GCF of 902,695,759
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 214720/1
Therefore the LCM of Fractions 64/902,61/695,110/759 is 214720
Factors of 902
List of positive integer factors of 902 that divides 902 without a remainder.
1,2,11,22,41,82,451,902
Factors of 695
List of positive integer factors of 695 that divides 695 without a remainder.
1,5,139,695
Factors of 759
List of positive integer factors of 759 that divides 759 without a remainder.
1,3,11,23,33,69,253,759
Greatest Common Factor
We found the factors 902,695,759 . The biggest common factor number is the GCF number.
So the greatest common factor 902,695,759 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 64/902, 61/695, 110/759?
Answer: LCM of Numerators as per given numbers 64/902, 61/695, 110/759 is
LCM of Numerators i.e. for 64,61,110 is 214720
GCF of denominators i.e. for 902,695,759 is 1.
Thus, LCM of Fractions is 214720.Finally, LCM of Fractions for 64/902, 61/695, 110/759 is 214720.