Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 776/270, 608/454 quickly i.e. 29488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 776/270, 608/454 is 29488.
LCM(776/270, 608/454) = 29488
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 776/270,608/454
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 776,608
Least Common Multiple of Numerators i.e. LCM of 776,608 is 58976.
GCF of Denominators means GCF of 270,454 as per the given fractions.
GCF of 270,454 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 776,608
2 | 776, 608 |
2 | 388, 304 |
2 | 194, 152 |
97, 76 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 97 x 76 = 58976
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 776,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(776,608) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(776,608) x common factors =8 x 1 = 8
LCM(776,608) = ( 776 × 608 ) / 8
LCM(776,608) = 471808 / 8
LCM(776,608) = 58976
Lets's calculate GCF of 270,454
2 | 270, 454 |
135, 227 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58976/2
Therefore the LCM of Fractions 776/270,608/454 is 29488
Factors of 270
List of positive integer factors of 270 that divides 270 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270
Factors of 454
List of positive integer factors of 454 that divides 454 without a remainder.
1,2,227,454
Greatest Common Factor
We found the factors 270,454 . The biggest common factor number is the GCF number.
So the greatest common factor 270,454 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 776/270, 608/454?
Answer: LCM of Numerators as per given numbers 776/270, 608/454 is
LCM of Numerators i.e. for 776,608 is 58976
GCF of denominators i.e. for 270,454 is 2.
Thus, LCM of Fractions is 29488.Finally, LCM of Fractions for 776/270, 608/454 is 29488.