Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3/56, 252/20, 553/58 quickly i.e. 9954 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3/56, 252/20, 553/58 is 9954.
LCM(3/56, 252/20, 553/58) = 9954
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3/56,252/20,553/58
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 3,252,553
Least Common Multiple of Numerators i.e. LCM of 3,252,553 is 19908.
GCF of Denominators means GCF of 56,20,58 as per the given fractions.
GCF of 56,20,58 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3,252,553
3 | 3, 252, 553 |
7 | 1, 84, 553 |
1, 12, 79 |
∴ So the LCM of the given numbers is 3 x 7 x 1 x 12 x 79 = 19908
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 3,252,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3,252,553) = 1
common factors(in case of two or more numbers have common factors) = 21
GCF(3,252,553) x common factors =1 x 21 = 21
LCM(3,252,553) = ( 3 × 252 × 553 ) / 21
LCM(3,252,553) = 418068 / 21
LCM(3,252,553) = 19908
Lets's calculate GCF of 56,20,58
2 | 56, 20, 58 |
28, 10, 29 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19908/2
Therefore the LCM of Fractions 3/56,252/20,553/58 is 9954
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 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Greatest Common Factor
We found the factors 56,20,58 . The biggest common factor number is the GCF number.
So the greatest common factor 56,20,58 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 3/56, 252/20, 553/58?
Answer: LCM of Numerators as per given numbers 3/56, 252/20, 553/58 is
LCM of Numerators i.e. for 3,252,553 is 19908
GCF of denominators i.e. for 56,20,58 is 2.
Thus, LCM of Fractions is 9954.Finally, LCM of Fractions for 3/56, 252/20, 553/58 is 9954.