Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/656, 50/490, 520/168 quickly i.e. 2600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/656, 50/490, 520/168 is 2600.
LCM(80/656, 50/490, 520/168) = 2600
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/656,50/490,520/168
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 80,50,520
Least Common Multiple of Numerators i.e. LCM of 80,50,520 is 5200.
GCF of Denominators means GCF of 656,490,168 as per the given fractions.
GCF of 656,490,168 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,50,520
2 | 80, 50, 520 |
2 | 40, 25, 260 |
2 | 20, 25, 130 |
5 | 10, 25, 65 |
2, 5, 13 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 2 x 5 x 13 = 5200
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 80,50,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,50,520) = 10
common factors(in case of two or more numbers have common factors) = 40
GCF(80,50,520) x common factors =10 x 40 = 400
LCM(80,50,520) = ( 80 × 50 × 520 ) / 400
LCM(80,50,520) = 2080000 / 400
LCM(80,50,520) = 5200
Lets's calculate GCF of 656,490,168
2 | 656, 490, 168 |
328, 245, 84 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5200/2
Therefore the LCM of Fractions 80/656,50/490,520/168 is 2600
Factors of 656
List of positive integer factors of 656 that divides 656 without a remainder.
1,2,4,8,16,41,82,164,328,656
Factors of 490
List of positive integer factors of 490 that divides 490 without a remainder.
1,2,5,7,10,14,35,49,70,98,245,490
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Greatest Common Factor
We found the factors 656,490,168 . The biggest common factor number is the GCF number.
So the greatest common factor 656,490,168 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 80/656, 50/490, 520/168?
Answer: LCM of Numerators as per given numbers 80/656, 50/490, 520/168 is
LCM of Numerators i.e. for 80,50,520 is 5200
GCF of denominators i.e. for 656,490,168 is 2.
Thus, LCM of Fractions is 2600.Finally, LCM of Fractions for 80/656, 50/490, 520/168 is 2600.