Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 174/448, 562/564 quickly i.e. 48894/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 174/448, 562/564 is 48894/4.
LCM(174/448, 562/564) = 48894/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 174/448,562/564
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 174,562
Least Common Multiple of Numerators i.e. LCM of 174,562 is 48894.
GCF of Denominators means GCF of 448,564 as per the given fractions.
GCF of 448,564 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 174,562
2 | 174, 562 |
87, 281 |
∴ So the LCM of the given numbers is 2 x 87 x 281 = 48894
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 174,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,562) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(174,562) x common factors =2 x 1 = 2
LCM(174,562) = ( 174 × 562 ) / 2
LCM(174,562) = 97788 / 2
LCM(174,562) = 48894
Lets's calculate GCF of 448,564
2 | 448, 564 |
2 | 224, 282 |
112, 141 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48894/4
Therefore the LCM of Fractions 174/448,562/564 is 48894/4
Factors of 448
List of positive integer factors of 448 that divides 448 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,224,448
Factors of 564
List of positive integer factors of 564 that divides 564 without a remainder.
1,2,3,4,6,12,47,94,141,188,282,564
Greatest Common Factor
We found the factors 448,564 . The biggest common factor number is the GCF number.
So the greatest common factor 448,564 is 4.
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 174/448, 562/564?
Answer: LCM of Numerators as per given numbers 174/448, 562/564 is
LCM of Numerators i.e. for 174,562 is 48894
GCF of denominators i.e. for 448,564 is 4.
Thus, LCM of Fractions is 48894/4.Finally, LCM of Fractions for 174/448, 562/564 is 48894/4.