Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 610/434, 4572/6470 quickly i.e. 697230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 610/434, 4572/6470 is 697230.
LCM(610/434, 4572/6470) = 697230
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 610/434,4572/6470
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 610,4572
Least Common Multiple of Numerators i.e. LCM of 610,4572 is 1394460.
GCF of Denominators means GCF of 434,6470 as per the given fractions.
GCF of 434,6470 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 610,4572
2 | 610, 4572 |
305, 2286 |
∴ So the LCM of the given numbers is 2 x 305 x 2286 = 1394460
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 610,4572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(610,4572) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(610,4572) x common factors =2 x 1 = 2
LCM(610,4572) = ( 610 × 4572 ) / 2
LCM(610,4572) = 2788920 / 2
LCM(610,4572) = 1394460
Lets's calculate GCF of 434,6470
2 | 434, 6470 |
217, 3235 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1394460/2
Therefore the LCM of Fractions 610/434,4572/6470 is 697230
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Factors of 6470
List of positive integer factors of 6470 that divides 6470 without a remainder.
1,2,5,10,647,1294,3235,6470
Greatest Common Factor
We found the factors 434,6470 . The biggest common factor number is the GCF number.
So the greatest common factor 434,6470 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 610/434, 4572/6470?
Answer: LCM of Numerators as per given numbers 610/434, 4572/6470 is
LCM of Numerators i.e. for 610,4572 is 1394460
GCF of denominators i.e. for 434,6470 is 2.
Thus, LCM of Fractions is 697230.Finally, LCM of Fractions for 610/434, 4572/6470 is 697230.