Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/50, 508/14, 431/648 quickly i.e. 6021070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/50, 508/14, 431/648 is 6021070.
LCM(55/50, 508/14, 431/648) = 6021070
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/50,508/14,431/648
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 55,508,431
Least Common Multiple of Numerators i.e. LCM of 55,508,431 is 12042140.
GCF of Denominators means GCF of 50,14,648 as per the given fractions.
GCF of 50,14,648 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,508,431
Given numbers has no common factors except 1. So, there LCM is their product i.e 12042140
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 55,508,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,508,431) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,508,431) x common factors =1 x 1 = 1
LCM(55,508,431) = ( 55 × 508 × 431 ) / 1
LCM(55,508,431) = 12042140 / 1
LCM(55,508,431) = 12042140
Lets's calculate GCF of 50,14,648
2 | 50, 14, 648 |
25, 7, 324 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12042140/2
Therefore the LCM of Fractions 55/50,508/14,431/648 is 6021070
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 648
List of positive integer factors of 648 that divides 648 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Greatest Common Factor
We found the factors 50,14,648 . The biggest common factor number is the GCF number.
So the greatest common factor 50,14,648 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 55/50, 508/14, 431/648?
Answer: LCM of Numerators as per given numbers 55/50, 508/14, 431/648 is
LCM of Numerators i.e. for 55,508,431 is 12042140
GCF of denominators i.e. for 50,14,648 is 2.
Thus, LCM of Fractions is 6021070.Finally, LCM of Fractions for 55/50, 508/14, 431/648 is 6021070.