Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 294/98, 431/74, 704/548 quickly i.e. 22301664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 294/98, 431/74, 704/548 is 22301664.
LCM(294/98, 431/74, 704/548) = 22301664
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 294/98,431/74,704/548
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 294,431,704
Least Common Multiple of Numerators i.e. LCM of 294,431,704 is 44603328.
GCF of Denominators means GCF of 98,74,548 as per the given fractions.
GCF of 98,74,548 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 294,431,704
2 | 294, 431, 704 |
147, 431, 352 |
∴ So the LCM of the given numbers is 2 x 147 x 431 x 352 = 44603328
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 294,431,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(294,431,704) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(294,431,704) x common factors =1 x 2 = 2
LCM(294,431,704) = ( 294 × 431 × 704 ) / 2
LCM(294,431,704) = 89206656 / 2
LCM(294,431,704) = 44603328
Lets's calculate GCF of 98,74,548
2 | 98, 74, 548 |
49, 37, 274 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44603328/2
Therefore the LCM of Fractions 294/98,431/74,704/548 is 22301664
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 548
List of positive integer factors of 548 that divides 548 without a remainder.
1,2,4,137,274,548
Greatest Common Factor
We found the factors 98,74,548 . The biggest common factor number is the GCF number.
So the greatest common factor 98,74,548 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 294/98, 431/74, 704/548?
Answer: LCM of Numerators as per given numbers 294/98, 431/74, 704/548 is
LCM of Numerators i.e. for 294,431,704 is 44603328
GCF of denominators i.e. for 98,74,548 is 2.
Thus, LCM of Fractions is 22301664.Finally, LCM of Fractions for 294/98, 431/74, 704/548 is 22301664.