Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 73/778, 1774/6272 quickly i.e. 64751 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 73/778, 1774/6272 is 64751.
LCM(73/778, 1774/6272) = 64751
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 73/778,1774/6272
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 73,1774
Least Common Multiple of Numerators i.e. LCM of 73,1774 is 129502.
GCF of Denominators means GCF of 778,6272 as per the given fractions.
GCF of 778,6272 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 73,1774
Given numbers has no common factors except 1. So, there LCM is their product i.e 129502
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 73,1774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,1774) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,1774) x common factors =1 x 1 = 1
LCM(73,1774) = ( 73 × 1774 ) / 1
LCM(73,1774) = 129502 / 1
LCM(73,1774) = 129502
Lets's calculate GCF of 778,6272
2 | 778, 6272 |
389, 3136 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129502/2
Therefore the LCM of Fractions 73/778,1774/6272 is 64751
Factors of 778
List of positive integer factors of 778 that divides 778 without a remainder.
1,2,389,778
Factors of 6272
List of positive integer factors of 6272 that divides 6272 without a remainder.
1,2,4,7,8,14,16,28,32,49,56,64,98,112,128,196,224,392,448,784,896,1568,3136,6272
Greatest Common Factor
We found the factors 778,6272 . The biggest common factor number is the GCF number.
So the greatest common factor 778,6272 is 2.
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 73/778, 1774/6272?
Answer: LCM of Numerators as per given numbers 73/778, 1774/6272 is
LCM of Numerators i.e. for 73,1774 is 129502
GCF of denominators i.e. for 778,6272 is 2.
Thus, LCM of Fractions is 64751.Finally, LCM of Fractions for 73/778, 1774/6272 is 64751.