Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5516/355, 1056/7840 quickly i.e. 1456224/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5516/355, 1056/7840 is 1456224/5.
LCM(5516/355, 1056/7840) = 1456224/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5516/355,1056/7840
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 5516,1056
Least Common Multiple of Numerators i.e. LCM of 5516,1056 is 1456224.
GCF of Denominators means GCF of 355,7840 as per the given fractions.
GCF of 355,7840 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5516,1056
2 | 5516, 1056 |
2 | 2758, 528 |
1379, 264 |
∴ So the LCM of the given numbers is 2 x 2 x 1379 x 264 = 1456224
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 5516,1056 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5516,1056) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(5516,1056) x common factors =4 x 1 = 4
LCM(5516,1056) = ( 5516 × 1056 ) / 4
LCM(5516,1056) = 5824896 / 4
LCM(5516,1056) = 1456224
Lets's calculate GCF of 355,7840
5 | 355, 7840 |
71, 1568 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1456224/5
Therefore the LCM of Fractions 5516/355,1056/7840 is 1456224/5
Factors of 355
List of positive integer factors of 355 that divides 355 without a remainder.
1,5,71,355
Factors of 7840
List of positive integer factors of 7840 that divides 7840 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,32,35,40,49,56,70,80,98,112,140,160,196,224,245,280,392,490,560,784,980,1120,1568,1960,3920,7840
Greatest Common Factor
We found the factors 355,7840 . The biggest common factor number is the GCF number.
So the greatest common factor 355,7840 is 5.
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 5516/355, 1056/7840?
Answer: LCM of Numerators as per given numbers 5516/355, 1056/7840 is
LCM of Numerators i.e. for 5516,1056 is 1456224
GCF of denominators i.e. for 355,7840 is 5.
Thus, LCM of Fractions is 1456224/5.Finally, LCM of Fractions for 5516/355, 1056/7840 is 1456224/5.