Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 755/84, 697/4824 quickly i.e. 526235/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 755/84, 697/4824 is 526235/12.
LCM(755/84, 697/4824) = 526235/12
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 755/84,697/4824
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 755,697
Least Common Multiple of Numerators i.e. LCM of 755,697 is 526235.
GCF of Denominators means GCF of 84,4824 as per the given fractions.
GCF of 84,4824 is 12 as it is the largest common factor for these numbers.
Lets's calculate LCM of 755,697
Given numbers has no common factors except 1. So, there LCM is their product i.e 526235
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 755,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(755,697) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(755,697) x common factors =1 x 1 = 1
LCM(755,697) = ( 755 × 697 ) / 1
LCM(755,697) = 526235 / 1
LCM(755,697) = 526235
Lets's calculate GCF of 84,4824
2 | 84, 4824 |
2 | 42, 2412 |
3 | 21, 1206 |
7, 402 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 526235/12
Therefore the LCM of Fractions 755/84,697/4824 is 526235/12
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 4824
List of positive integer factors of 4824 that divides 4824 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,67,72,134,201,268,402,536,603,804,1206,1608,2412,4824
Greatest Common Factor
We found the factors 84,4824 . The biggest common factor number is the GCF number.
So the greatest common factor 84,4824 is 12.
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 755/84, 697/4824?
Answer: LCM of Numerators as per given numbers 755/84, 697/4824 is
LCM of Numerators i.e. for 755,697 is 526235
GCF of denominators i.e. for 84,4824 is 12.
Thus, LCM of Fractions is 526235/12.Finally, LCM of Fractions for 755/84, 697/4824 is 526235/12.