Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 49/702, 66/484, 497/288 quickly i.e. 114807 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 49/702, 66/484, 497/288 is 114807.
LCM(49/702, 66/484, 497/288) = 114807
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 49/702,66/484,497/288
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 49,66,497
Least Common Multiple of Numerators i.e. LCM of 49,66,497 is 229614.
GCF of Denominators means GCF of 702,484,288 as per the given fractions.
GCF of 702,484,288 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 49,66,497
7 | 49, 66, 497 |
7, 66, 71 |
∴ So the LCM of the given numbers is 7 x 7 x 66 x 71 = 229614
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 49,66,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,66,497) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(49,66,497) x common factors =1 x 7 = 7
LCM(49,66,497) = ( 49 × 66 × 497 ) / 7
LCM(49,66,497) = 1607298 / 7
LCM(49,66,497) = 229614
Lets's calculate GCF of 702,484,288
2 | 702, 484, 288 |
351, 242, 144 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 229614/2
Therefore the LCM of Fractions 49/702,66/484,497/288 is 114807
Factors of 702
List of positive integer factors of 702 that divides 702 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Factors of 484
List of positive integer factors of 484 that divides 484 without a remainder.
1,2,4,11,22,44,121,242,484
Factors of 288
List of positive integer factors of 288 that divides 288 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Greatest Common Factor
We found the factors 702,484,288 . The biggest common factor number is the GCF number.
So the greatest common factor 702,484,288 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 49/702, 66/484, 497/288?
Answer: LCM of Numerators as per given numbers 49/702, 66/484, 497/288 is
LCM of Numerators i.e. for 49,66,497 is 229614
GCF of denominators i.e. for 702,484,288 is 2.
Thus, LCM of Fractions is 114807.Finally, LCM of Fractions for 49/702, 66/484, 497/288 is 114807.