Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/234, 25/508, 813/679 quickly i.e. 1300800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/234, 25/508, 813/679 is 1300800.
LCM(64/234, 25/508, 813/679) = 1300800
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/234,25/508,813/679
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 64,25,813
Least Common Multiple of Numerators i.e. LCM of 64,25,813 is 1300800.
GCF of Denominators means GCF of 234,508,679 as per the given fractions.
GCF of 234,508,679 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,25,813
Given numbers has no common factors except 1. So, there LCM is their product i.e 1300800
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 64,25,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,25,813) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,25,813) x common factors =1 x 1 = 1
LCM(64,25,813) = ( 64 × 25 × 813 ) / 1
LCM(64,25,813) = 1300800 / 1
LCM(64,25,813) = 1300800
Lets's calculate GCF of 234,508,679
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1300800/1
Therefore the LCM of Fractions 64/234,25/508,813/679 is 1300800
Factors of 234
List of positive integer factors of 234 that divides 234 without a remainder.
1,2,3,6,9,13,18,26,39,78,117,234
Factors of 508
List of positive integer factors of 508 that divides 508 without a remainder.
1,2,4,127,254,508
Factors of 679
List of positive integer factors of 679 that divides 679 without a remainder.
1,7,97,679
Greatest Common Factor
We found the factors 234,508,679 . The biggest common factor number is the GCF number.
So the greatest common factor 234,508,679 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 64/234, 25/508, 813/679?
Answer: LCM of Numerators as per given numbers 64/234, 25/508, 813/679 is
LCM of Numerators i.e. for 64,25,813 is 1300800
GCF of denominators i.e. for 234,508,679 is 1.
Thus, LCM of Fractions is 1300800.Finally, LCM of Fractions for 64/234, 25/508, 813/679 is 1300800.