Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 84/637, 48/707, 528/401 quickly i.e. 3696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 84/637, 48/707, 528/401 is 3696.
LCM(84/637, 48/707, 528/401) = 3696
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 84/637,48/707,528/401
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 84,48,528
Least Common Multiple of Numerators i.e. LCM of 84,48,528 is 3696.
GCF of Denominators means GCF of 637,707,401 as per the given fractions.
GCF of 637,707,401 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 84,48,528
2 | 84, 48, 528 |
2 | 42, 24, 264 |
2 | 21, 12, 132 |
2 | 21, 6, 66 |
3 | 21, 3, 33 |
7, 1, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 7 x 1 x 11 = 3696
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 84,48,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,48,528) = 12
common factors(in case of two or more numbers have common factors) = 48
GCF(84,48,528) x common factors =12 x 48 = 576
LCM(84,48,528) = ( 84 × 48 × 528 ) / 576
LCM(84,48,528) = 2128896 / 576
LCM(84,48,528) = 3696
Lets's calculate GCF of 637,707,401
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3696/1
Therefore the LCM of Fractions 84/637,48/707,528/401 is 3696
Factors of 637
List of positive integer factors of 637 that divides 637 without a remainder.
1,7,13,49,91,637
Factors of 707
List of positive integer factors of 707 that divides 707 without a remainder.
1,7,101,707
Factors of 401
List of positive integer factors of 401 that divides 401 without a remainder.
1,401
Greatest Common Factor
We found the factors 637,707,401 . The biggest common factor number is the GCF number.
So the greatest common factor 637,707,401 is 1.
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 84/637, 48/707, 528/401?
Answer: LCM of Numerators as per given numbers 84/637, 48/707, 528/401 is
LCM of Numerators i.e. for 84,48,528 is 3696
GCF of denominators i.e. for 637,707,401 is 1.
Thus, LCM of Fractions is 3696.Finally, LCM of Fractions for 84/637, 48/707, 528/401 is 3696.