Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6479/448, 5402/6204 quickly i.e. 34999558/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6479/448, 5402/6204 is 34999558/4.
LCM(6479/448, 5402/6204) = 34999558/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6479/448,5402/6204
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 6479,5402
Least Common Multiple of Numerators i.e. LCM of 6479,5402 is 34999558.
GCF of Denominators means GCF of 448,6204 as per the given fractions.
GCF of 448,6204 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6479,5402
Given numbers has no common factors except 1. So, there LCM is their product i.e 34999558
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 6479,5402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6479,5402) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6479,5402) x common factors =1 x 1 = 1
LCM(6479,5402) = ( 6479 × 5402 ) / 1
LCM(6479,5402) = 34999558 / 1
LCM(6479,5402) = 34999558
Lets's calculate GCF of 448,6204
2 | 448, 6204 |
2 | 224, 3102 |
112, 1551 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34999558/4
Therefore the LCM of Fractions 6479/448,5402/6204 is 34999558/4
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 6204
List of positive integer factors of 6204 that divides 6204 without a remainder.
1,2,3,4,6,11,12,22,33,44,47,66,94,132,141,188,282,517,564,1034,1551,2068,3102,6204
Greatest Common Factor
We found the factors 448,6204 . The biggest common factor number is the GCF number.
So the greatest common factor 448,6204 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 6479/448, 5402/6204?
Answer: LCM of Numerators as per given numbers 6479/448, 5402/6204 is
LCM of Numerators i.e. for 6479,5402 is 34999558
GCF of denominators i.e. for 448,6204 is 4.
Thus, LCM of Fractions is 34999558/4.Finally, LCM of Fractions for 6479/448, 5402/6204 is 34999558/4.