Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/73, 12/78, 47/94, 51/457 quickly i.e. 201348 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/73, 12/78, 47/94, 51/457 is 201348.
LCM(63/73, 12/78, 47/94, 51/457) = 201348
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/73,12/78,47/94,51/457
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 63,12,47,51
Least Common Multiple of Numerators i.e. LCM of 63,12,47,51 is 201348.
GCF of Denominators means GCF of 73,78,94,457 as per the given fractions.
GCF of 73,78,94,457 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,12,47,51
3 | 63, 12, 47, 51 |
21, 4, 47, 17 |
∴ So the LCM of the given numbers is 3 x 21 x 4 x 47 x 17 = 201348
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 63,12,47,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,12,47,51) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(63,12,47,51) x common factors =1 x 9 = 9
LCM(63,12,47,51) = ( 63 × 12 × 47 × 51 ) / 9
LCM(63,12,47,51) = 1812132 / 9
LCM(63,12,47,51) = 201348
Lets's calculate GCF of 73,78,94,457
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 201348/1
Therefore the LCM of Fractions 63/73,12/78,47/94,51/457 is 201348
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 457
List of positive integer factors of 457 that divides 457 without a remainder.
1,457
Greatest Common Factor
We found the factors 73,78,94,457 . The biggest common factor number is the GCF number.
So the greatest common factor 73,78,94,457 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 63/73, 12/78, 47/94, 51/457?
Answer: LCM of Numerators as per given numbers 63/73, 12/78, 47/94, 51/457 is
LCM of Numerators i.e. for 63,12,47,51 is 201348
GCF of denominators i.e. for 73,78,94,457 is 1.
Thus, LCM of Fractions is 201348.Finally, LCM of Fractions for 63/73, 12/78, 47/94, 51/457 is 201348.