Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 771/77, 315/9030 quickly i.e. 11565 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 771/77, 315/9030 is 11565.
LCM(771/77, 315/9030) = 11565
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 771/77,315/9030
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 771,315
Least Common Multiple of Numerators i.e. LCM of 771,315 is 80955.
GCF of Denominators means GCF of 77,9030 as per the given fractions.
GCF of 77,9030 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 771,315
3 | 771, 315 |
257, 105 |
∴ So the LCM of the given numbers is 3 x 257 x 105 = 80955
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 771,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(771,315) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(771,315) x common factors =3 x 1 = 3
LCM(771,315) = ( 771 × 315 ) / 3
LCM(771,315) = 242865 / 3
LCM(771,315) = 80955
Lets's calculate GCF of 77,9030
7 | 77, 9030 |
11, 1290 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80955/7
Therefore the LCM of Fractions 771/77,315/9030 is 11565
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 9030
List of positive integer factors of 9030 that divides 9030 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,35,42,43,70,86,105,129,210,215,258,301,430,602,645,903,1290,1505,1806,3010,4515,9030
Greatest Common Factor
We found the factors 77,9030 . The biggest common factor number is the GCF number.
So the greatest common factor 77,9030 is 7.
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 771/77, 315/9030?
Answer: LCM of Numerators as per given numbers 771/77, 315/9030 is
LCM of Numerators i.e. for 771,315 is 80955
GCF of denominators i.e. for 77,9030 is 7.
Thus, LCM of Fractions is 11565.Finally, LCM of Fractions for 771/77, 315/9030 is 11565.