Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/436, 68/202, 63/560 quickly i.e. 2142 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/436, 68/202, 63/560 is 2142.
LCM(1/436, 68/202, 63/560) = 2142
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/436,68/202,63/560
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 1,68,63
Least Common Multiple of Numerators i.e. LCM of 1,68,63 is 4284.
GCF of Denominators means GCF of 436,202,560 as per the given fractions.
GCF of 436,202,560 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,68,63
Given numbers has no common factors except 1. So, there LCM is their product i.e 4284
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 1,68,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,68,63) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1,68,63) x common factors =1 x 1 = 1
LCM(1,68,63) = ( 1 × 68 × 63 ) / 1
LCM(1,68,63) = 4284 / 1
LCM(1,68,63) = 4284
Lets's calculate GCF of 436,202,560
2 | 436, 202, 560 |
218, 101, 280 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4284/2
Therefore the LCM of Fractions 1/436,68/202,63/560 is 2142
Factors of 436
List of positive integer factors of 436 that divides 436 without a remainder.
1,2,4,109,218,436
Factors of 202
List of positive integer factors of 202 that divides 202 without a remainder.
1,2,101,202
Factors of 560
List of positive integer factors of 560 that divides 560 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560
Greatest Common Factor
We found the factors 436,202,560 . The biggest common factor number is the GCF number.
So the greatest common factor 436,202,560 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 1/436, 68/202, 63/560?
Answer: LCM of Numerators as per given numbers 1/436, 68/202, 63/560 is
LCM of Numerators i.e. for 1,68,63 is 4284
GCF of denominators i.e. for 436,202,560 is 2.
Thus, LCM of Fractions is 2142.Finally, LCM of Fractions for 1/436, 68/202, 63/560 is 2142.