Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 54/469, 63/916, 770/829 quickly i.e. 20790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 54/469, 63/916, 770/829 is 20790.
LCM(54/469, 63/916, 770/829) = 20790
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 54/469,63/916,770/829
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 54,63,770
Least Common Multiple of Numerators i.e. LCM of 54,63,770 is 20790.
GCF of Denominators means GCF of 469,916,829 as per the given fractions.
GCF of 469,916,829 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 54,63,770
2 | 54, 63, 770 |
3 | 27, 63, 385 |
3 | 9, 21, 385 |
7 | 3, 7, 385 |
3, 1, 55 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 3 x 1 x 55 = 20790
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 54,63,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,63,770) = 1
common factors(in case of two or more numbers have common factors) = 126
GCF(54,63,770) x common factors =1 x 126 = 126
LCM(54,63,770) = ( 54 × 63 × 770 ) / 126
LCM(54,63,770) = 2619540 / 126
LCM(54,63,770) = 20790
Lets's calculate GCF of 469,916,829
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20790/1
Therefore the LCM of Fractions 54/469,63/916,770/829 is 20790
Factors of 469
List of positive integer factors of 469 that divides 469 without a remainder.
1,7,67,469
Factors of 916
List of positive integer factors of 916 that divides 916 without a remainder.
1,2,4,229,458,916
Factors of 829
List of positive integer factors of 829 that divides 829 without a remainder.
1,829
Greatest Common Factor
We found the factors 469,916,829 . The biggest common factor number is the GCF number.
So the greatest common factor 469,916,829 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 54/469, 63/916, 770/829?
Answer: LCM of Numerators as per given numbers 54/469, 63/916, 770/829 is
LCM of Numerators i.e. for 54,63,770 is 20790
GCF of denominators i.e. for 469,916,829 is 1.
Thus, LCM of Fractions is 20790.Finally, LCM of Fractions for 54/469, 63/916, 770/829 is 20790.