Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 783/788, 7556/552 quickly i.e. 1479087 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 783/788, 7556/552 is 1479087.
LCM(783/788, 7556/552) = 1479087
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 783/788,7556/552
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 783,7556
Least Common Multiple of Numerators i.e. LCM of 783,7556 is 5916348.
GCF of Denominators means GCF of 788,552 as per the given fractions.
GCF of 788,552 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 783,7556
Given numbers has no common factors except 1. So, there LCM is their product i.e 5916348
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 783,7556 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(783,7556) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(783,7556) x common factors =1 x 1 = 1
LCM(783,7556) = ( 783 × 7556 ) / 1
LCM(783,7556) = 5916348 / 1
LCM(783,7556) = 5916348
Lets's calculate GCF of 788,552
2 | 788, 552 |
2 | 394, 276 |
197, 138 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5916348/4
Therefore the LCM of Fractions 783/788,7556/552 is 1479087
Factors of 788
List of positive integer factors of 788 that divides 788 without a remainder.
1,2,4,197,394,788
Factors of 552
List of positive integer factors of 552 that divides 552 without a remainder.
1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Greatest Common Factor
We found the factors 788,552 . The biggest common factor number is the GCF number.
So the greatest common factor 788,552 is 4.
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 783/788, 7556/552?
Answer: LCM of Numerators as per given numbers 783/788, 7556/552 is
LCM of Numerators i.e. for 783,7556 is 5916348
GCF of denominators i.e. for 788,552 is 4.
Thus, LCM of Fractions is 1479087.Finally, LCM of Fractions for 783/788, 7556/552 is 1479087.