Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 706/570, 7385/350 quickly i.e. 521381 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 706/570, 7385/350 is 521381.
LCM(706/570, 7385/350) = 521381
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 706/570,7385/350
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 706,7385
Least Common Multiple of Numerators i.e. LCM of 706,7385 is 5213810.
GCF of Denominators means GCF of 570,350 as per the given fractions.
GCF of 570,350 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 706,7385
Given numbers has no common factors except 1. So, there LCM is their product i.e 5213810
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 706,7385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(706,7385) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(706,7385) x common factors =1 x 1 = 1
LCM(706,7385) = ( 706 × 7385 ) / 1
LCM(706,7385) = 5213810 / 1
LCM(706,7385) = 5213810
Lets's calculate GCF of 570,350
2 | 570, 350 |
5 | 285, 175 |
57, 35 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5213810/10
Therefore the LCM of Fractions 706/570,7385/350 is 521381
Factors of 570
List of positive integer factors of 570 that divides 570 without a remainder.
1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570
Factors of 350
List of positive integer factors of 350 that divides 350 without a remainder.
1,2,5,7,10,14,25,35,50,70,175,350
Greatest Common Factor
We found the factors 570,350 . The biggest common factor number is the GCF number.
So the greatest common factor 570,350 is 10.
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 706/570, 7385/350?
Answer: LCM of Numerators as per given numbers 706/570, 7385/350 is
LCM of Numerators i.e. for 706,7385 is 5213810
GCF of denominators i.e. for 570,350 is 10.
Thus, LCM of Fractions is 521381.Finally, LCM of Fractions for 706/570, 7385/350 is 521381.