Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 507/76, 168/93, 938/467 quickly i.e. 1902264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 507/76, 168/93, 938/467 is 1902264.
LCM(507/76, 168/93, 938/467) = 1902264
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 507/76,168/93,938/467
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 507,168,938
Least Common Multiple of Numerators i.e. LCM of 507,168,938 is 1902264.
GCF of Denominators means GCF of 76,93,467 as per the given fractions.
GCF of 76,93,467 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 507,168,938
2 | 507, 168, 938 |
3 | 507, 84, 469 |
7 | 169, 28, 469 |
169, 4, 67 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 169 x 4 x 67 = 1902264
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 507,168,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(507,168,938) = 1
common factors(in case of two or more numbers have common factors) = 42
GCF(507,168,938) x common factors =1 x 42 = 42
LCM(507,168,938) = ( 507 × 168 × 938 ) / 42
LCM(507,168,938) = 79895088 / 42
LCM(507,168,938) = 1902264
Lets's calculate GCF of 76,93,467
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1902264/1
Therefore the LCM of Fractions 507/76,168/93,938/467 is 1902264
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 467
List of positive integer factors of 467 that divides 467 without a remainder.
1,467
Greatest Common Factor
We found the factors 76,93,467 . The biggest common factor number is the GCF number.
So the greatest common factor 76,93,467 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 507/76, 168/93, 938/467?
Answer: LCM of Numerators as per given numbers 507/76, 168/93, 938/467 is
LCM of Numerators i.e. for 507,168,938 is 1902264
GCF of denominators i.e. for 76,93,467 is 1.
Thus, LCM of Fractions is 1902264.Finally, LCM of Fractions for 507/76, 168/93, 938/467 is 1902264.