Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3515/674, 1218/920 quickly i.e. 2140635 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3515/674, 1218/920 is 2140635.
LCM(3515/674, 1218/920) = 2140635
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3515/674,1218/920
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 3515,1218
Least Common Multiple of Numerators i.e. LCM of 3515,1218 is 4281270.
GCF of Denominators means GCF of 674,920 as per the given fractions.
GCF of 674,920 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3515,1218
Given numbers has no common factors except 1. So, there LCM is their product i.e 4281270
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 3515,1218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3515,1218) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3515,1218) x common factors =1 x 1 = 1
LCM(3515,1218) = ( 3515 × 1218 ) / 1
LCM(3515,1218) = 4281270 / 1
LCM(3515,1218) = 4281270
Lets's calculate GCF of 674,920
2 | 674, 920 |
337, 460 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4281270/2
Therefore the LCM of Fractions 3515/674,1218/920 is 2140635
Factors of 674
List of positive integer factors of 674 that divides 674 without a remainder.
1,2,337,674
Factors of 920
List of positive integer factors of 920 that divides 920 without a remainder.
1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920
Greatest Common Factor
We found the factors 674,920 . The biggest common factor number is the GCF number.
So the greatest common factor 674,920 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 3515/674, 1218/920?
Answer: LCM of Numerators as per given numbers 3515/674, 1218/920 is
LCM of Numerators i.e. for 3515,1218 is 4281270
GCF of denominators i.e. for 674,920 is 2.
Thus, LCM of Fractions is 2140635.Finally, LCM of Fractions for 3515/674, 1218/920 is 2140635.