Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 240/80, 356/5624 quickly i.e. 2670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 240/80, 356/5624 is 2670.
LCM(240/80, 356/5624) = 2670
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 240/80,356/5624
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 240,356
Least Common Multiple of Numerators i.e. LCM of 240,356 is 21360.
GCF of Denominators means GCF of 80,5624 as per the given fractions.
GCF of 80,5624 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 240,356
2 | 240, 356 |
2 | 120, 178 |
60, 89 |
∴ So the LCM of the given numbers is 2 x 2 x 60 x 89 = 21360
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 240,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,356) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(240,356) x common factors =4 x 1 = 4
LCM(240,356) = ( 240 × 356 ) / 4
LCM(240,356) = 85440 / 4
LCM(240,356) = 21360
Lets's calculate GCF of 80,5624
2 | 80, 5624 |
2 | 40, 2812 |
2 | 20, 1406 |
10, 703 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21360/8
Therefore the LCM of Fractions 240/80,356/5624 is 2670
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 5624
List of positive integer factors of 5624 that divides 5624 without a remainder.
1,2,4,8,19,37,38,74,76,148,152,296,703,1406,2812,5624
Greatest Common Factor
We found the factors 80,5624 . The biggest common factor number is the GCF number.
So the greatest common factor 80,5624 is 8.
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 240/80, 356/5624?
Answer: LCM of Numerators as per given numbers 240/80, 356/5624 is
LCM of Numerators i.e. for 240,356 is 21360
GCF of denominators i.e. for 80,5624 is 8.
Thus, LCM of Fractions is 2670.Finally, LCM of Fractions for 240/80, 356/5624 is 2670.