Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 90/592, 273/628, 278/714 quickly i.e. 569205 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 90/592, 273/628, 278/714 is 569205.
LCM(90/592, 273/628, 278/714) = 569205
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 90/592,273/628,278/714
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 90,273,278
Least Common Multiple of Numerators i.e. LCM of 90,273,278 is 1138410.
GCF of Denominators means GCF of 592,628,714 as per the given fractions.
GCF of 592,628,714 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 90,273,278
2 | 90, 273, 278 |
3 | 45, 273, 139 |
15, 91, 139 |
∴ So the LCM of the given numbers is 2 x 3 x 15 x 91 x 139 = 1138410
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 90,273,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,273,278) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(90,273,278) x common factors =1 x 6 = 6
LCM(90,273,278) = ( 90 × 273 × 278 ) / 6
LCM(90,273,278) = 6830460 / 6
LCM(90,273,278) = 1138410
Lets's calculate GCF of 592,628,714
2 | 592, 628, 714 |
296, 314, 357 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1138410/2
Therefore the LCM of Fractions 90/592,273/628,278/714 is 569205
Factors of 592
List of positive integer factors of 592 that divides 592 without a remainder.
1,2,4,8,16,37,74,148,296,592
Factors of 628
List of positive integer factors of 628 that divides 628 without a remainder.
1,2,4,157,314,628
Factors of 714
List of positive integer factors of 714 that divides 714 without a remainder.
1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714
Greatest Common Factor
We found the factors 592,628,714 . The biggest common factor number is the GCF number.
So the greatest common factor 592,628,714 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 90/592, 273/628, 278/714?
Answer: LCM of Numerators as per given numbers 90/592, 273/628, 278/714 is
LCM of Numerators i.e. for 90,273,278 is 1138410
GCF of denominators i.e. for 592,628,714 is 2.
Thus, LCM of Fractions is 569205.Finally, LCM of Fractions for 90/592, 273/628, 278/714 is 569205.