Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 697/56, 6342/566 quickly i.e. 2210187 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 697/56, 6342/566 is 2210187.
LCM(697/56, 6342/566) = 2210187
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 697/56,6342/566
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 697,6342
Least Common Multiple of Numerators i.e. LCM of 697,6342 is 4420374.
GCF of Denominators means GCF of 56,566 as per the given fractions.
GCF of 56,566 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 697,6342
Given numbers has no common factors except 1. So, there LCM is their product i.e 4420374
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 697,6342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(697,6342) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(697,6342) x common factors =1 x 1 = 1
LCM(697,6342) = ( 697 × 6342 ) / 1
LCM(697,6342) = 4420374 / 1
LCM(697,6342) = 4420374
Lets's calculate GCF of 56,566
2 | 56, 566 |
28, 283 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4420374/2
Therefore the LCM of Fractions 697/56,6342/566 is 2210187
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 566
List of positive integer factors of 566 that divides 566 without a remainder.
1,2,283,566
Greatest Common Factor
We found the factors 56,566 . The biggest common factor number is the GCF number.
So the greatest common factor 56,566 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 697/56, 6342/566?
Answer: LCM of Numerators as per given numbers 697/56, 6342/566 is
LCM of Numerators i.e. for 697,6342 is 4420374
GCF of denominators i.e. for 56,566 is 2.
Thus, LCM of Fractions is 2210187.Finally, LCM of Fractions for 697/56, 6342/566 is 2210187.