Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/448, 355/698, 887/162 quickly i.e. 3463735/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/448, 355/698, 887/162 is 3463735/2.
LCM(55/448, 355/698, 887/162) = 3463735/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/448,355/698,887/162
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 55,355,887
Least Common Multiple of Numerators i.e. LCM of 55,355,887 is 3463735.
GCF of Denominators means GCF of 448,698,162 as per the given fractions.
GCF of 448,698,162 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,355,887
5 | 55, 355, 887 |
11, 71, 887 |
∴ So the LCM of the given numbers is 5 x 11 x 71 x 887 = 3463735
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 55,355,887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,355,887) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(55,355,887) x common factors =1 x 5 = 5
LCM(55,355,887) = ( 55 × 355 × 887 ) / 5
LCM(55,355,887) = 17318675 / 5
LCM(55,355,887) = 3463735
Lets's calculate GCF of 448,698,162
2 | 448, 698, 162 |
224, 349, 81 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3463735/2
Therefore the LCM of Fractions 55/448,355/698,887/162 is 3463735/2
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 698
List of positive integer factors of 698 that divides 698 without a remainder.
1,2,349,698
Factors of 162
List of positive integer factors of 162 that divides 162 without a remainder.
1,2,3,6,9,18,27,54,81,162
Greatest Common Factor
We found the factors 448,698,162 . The biggest common factor number is the GCF number.
So the greatest common factor 448,698,162 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 55/448, 355/698, 887/162?
Answer: LCM of Numerators as per given numbers 55/448, 355/698, 887/162 is
LCM of Numerators i.e. for 55,355,887 is 3463735
GCF of denominators i.e. for 448,698,162 is 2.
Thus, LCM of Fractions is 3463735/2.Finally, LCM of Fractions for 55/448, 355/698, 887/162 is 3463735/2.