Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 567/957, 814/234, 653/254 quickly i.e. 301384314 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 567/957, 814/234, 653/254 is 301384314.
LCM(567/957, 814/234, 653/254) = 301384314
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 567/957,814/234,653/254
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 567,814,653
Least Common Multiple of Numerators i.e. LCM of 567,814,653 is 301384314.
GCF of Denominators means GCF of 957,234,254 as per the given fractions.
GCF of 957,234,254 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 567,814,653
Given numbers has no common factors except 1. So, there LCM is their product i.e 301384314
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 567,814,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,814,653) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(567,814,653) x common factors =1 x 1 = 1
LCM(567,814,653) = ( 567 × 814 × 653 ) / 1
LCM(567,814,653) = 301384314 / 1
LCM(567,814,653) = 301384314
Lets's calculate GCF of 957,234,254
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 301384314/1
Therefore the LCM of Fractions 567/957,814/234,653/254 is 301384314
Factors of 957
List of positive integer factors of 957 that divides 957 without a remainder.
1,3,11,29,33,87,319,957
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 254
List of positive integer factors of 254 that divides 254 without a remainder.
1,2,127,254
Greatest Common Factor
We found the factors 957,234,254 . The biggest common factor number is the GCF number.
So the greatest common factor 957,234,254 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 567/957, 814/234, 653/254?
Answer: LCM of Numerators as per given numbers 567/957, 814/234, 653/254 is
LCM of Numerators i.e. for 567,814,653 is 301384314
GCF of denominators i.e. for 957,234,254 is 1.
Thus, LCM of Fractions is 301384314.Finally, LCM of Fractions for 567/957, 814/234, 653/254 is 301384314.