Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 959/536, 360/552, 381/280 quickly i.e. 5480685 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 959/536, 360/552, 381/280 is 5480685.
LCM(959/536, 360/552, 381/280) = 5480685
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 959/536,360/552,381/280
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 959,360,381
Least Common Multiple of Numerators i.e. LCM of 959,360,381 is 43845480.
GCF of Denominators means GCF of 536,552,280 as per the given fractions.
GCF of 536,552,280 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 959,360,381
3 | 959, 360, 381 |
959, 120, 127 |
∴ So the LCM of the given numbers is 3 x 959 x 120 x 127 = 43845480
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 959,360,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(959,360,381) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(959,360,381) x common factors =1 x 3 = 3
LCM(959,360,381) = ( 959 × 360 × 381 ) / 3
LCM(959,360,381) = 131536440 / 3
LCM(959,360,381) = 43845480
Lets's calculate GCF of 536,552,280
2 | 536, 552, 280 |
2 | 268, 276, 140 |
2 | 134, 138, 70 |
67, 69, 35 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43845480/8
Therefore the LCM of Fractions 959/536,360/552,381/280 is 5480685
Factors of 536
List of positive integer factors of 536 that divides 536 without a remainder.
1,2,4,8,67,134,268,536
Factors of 552
List of positive integer factors of 552 that divides 552 without a remainder.
1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Factors of 280
List of positive integer factors of 280 that divides 280 without a remainder.
1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Greatest Common Factor
We found the factors 536,552,280 . The biggest common factor number is the GCF number.
So the greatest common factor 536,552,280 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 959/536, 360/552, 381/280?
Answer: LCM of Numerators as per given numbers 959/536, 360/552, 381/280 is
LCM of Numerators i.e. for 959,360,381 is 43845480
GCF of denominators i.e. for 536,552,280 is 8.
Thus, LCM of Fractions is 5480685.Finally, LCM of Fractions for 959/536, 360/552, 381/280 is 5480685.