Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 174/276, 382/814, 507/857 quickly i.e. 5616546 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 174/276, 382/814, 507/857 is 5616546.
LCM(174/276, 382/814, 507/857) = 5616546
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 174/276,382/814,507/857
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 174,382,507
Least Common Multiple of Numerators i.e. LCM of 174,382,507 is 5616546.
GCF of Denominators means GCF of 276,814,857 as per the given fractions.
GCF of 276,814,857 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 174,382,507
2 | 174, 382, 507 |
3 | 87, 191, 507 |
29, 191, 169 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 191 x 169 = 5616546
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 174,382,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,382,507) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(174,382,507) x common factors =1 x 6 = 6
LCM(174,382,507) = ( 174 × 382 × 507 ) / 6
LCM(174,382,507) = 33699276 / 6
LCM(174,382,507) = 5616546
Lets's calculate GCF of 276,814,857
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5616546/1
Therefore the LCM of Fractions 174/276,382/814,507/857 is 5616546
Factors of 276
List of positive integer factors of 276 that divides 276 without a remainder.
1,2,3,4,6,12,23,46,69,92,138,276
Factors of 814
List of positive integer factors of 814 that divides 814 without a remainder.
1,2,11,22,37,74,407,814
Factors of 857
List of positive integer factors of 857 that divides 857 without a remainder.
1,857
Greatest Common Factor
We found the factors 276,814,857 . The biggest common factor number is the GCF number.
So the greatest common factor 276,814,857 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 174/276, 382/814, 507/857?
Answer: LCM of Numerators as per given numbers 174/276, 382/814, 507/857 is
LCM of Numerators i.e. for 174,382,507 is 5616546
GCF of denominators i.e. for 276,814,857 is 1.
Thus, LCM of Fractions is 5616546.Finally, LCM of Fractions for 174/276, 382/814, 507/857 is 5616546.