Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 407/98, 548/56, 694/399 quickly i.e. 77393492/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 407/98, 548/56, 694/399 is 77393492/7.
LCM(407/98, 548/56, 694/399) = 77393492/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 407/98,548/56,694/399
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 407,548,694
Least Common Multiple of Numerators i.e. LCM of 407,548,694 is 77393492.
GCF of Denominators means GCF of 98,56,399 as per the given fractions.
GCF of 98,56,399 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 407,548,694
2 | 407, 548, 694 |
407, 274, 347 |
∴ So the LCM of the given numbers is 2 x 407 x 274 x 347 = 77393492
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 407,548,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(407,548,694) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(407,548,694) x common factors =1 x 2 = 2
LCM(407,548,694) = ( 407 × 548 × 694 ) / 2
LCM(407,548,694) = 154786984 / 2
LCM(407,548,694) = 77393492
Lets's calculate GCF of 98,56,399
7 | 98, 56, 399 |
14, 8, 57 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77393492/7
Therefore the LCM of Fractions 407/98,548/56,694/399 is 77393492/7
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 399
List of positive integer factors of 399 that divides 399 without a remainder.
1,3,7,19,21,57,133,399
Greatest Common Factor
We found the factors 98,56,399 . The biggest common factor number is the GCF number.
So the greatest common factor 98,56,399 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 407/98, 548/56, 694/399?
Answer: LCM of Numerators as per given numbers 407/98, 548/56, 694/399 is
LCM of Numerators i.e. for 407,548,694 is 77393492
GCF of denominators i.e. for 98,56,399 is 7.
Thus, LCM of Fractions is 77393492/7.Finally, LCM of Fractions for 407/98, 548/56, 694/399 is 77393492/7.