Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 37/334, 934/548, 667/730 quickly i.e. 11525093 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 37/334, 934/548, 667/730 is 11525093.
LCM(37/334, 934/548, 667/730) = 11525093
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 37/334,934/548,667/730
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 37,934,667
Least Common Multiple of Numerators i.e. LCM of 37,934,667 is 23050186.
GCF of Denominators means GCF of 334,548,730 as per the given fractions.
GCF of 334,548,730 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 37,934,667
Given numbers has no common factors except 1. So, there LCM is their product i.e 23050186
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 37,934,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,934,667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,934,667) x common factors =1 x 1 = 1
LCM(37,934,667) = ( 37 × 934 × 667 ) / 1
LCM(37,934,667) = 23050186 / 1
LCM(37,934,667) = 23050186
Lets's calculate GCF of 334,548,730
2 | 334, 548, 730 |
167, 274, 365 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23050186/2
Therefore the LCM of Fractions 37/334,934/548,667/730 is 11525093
Factors of 334
List of positive integer factors of 334 that divides 334 without a remainder.
1,2,167,334
Factors of 548
List of positive integer factors of 548 that divides 548 without a remainder.
1,2,4,137,274,548
Factors of 730
List of positive integer factors of 730 that divides 730 without a remainder.
1,2,5,10,73,146,365,730
Greatest Common Factor
We found the factors 334,548,730 . The biggest common factor number is the GCF number.
So the greatest common factor 334,548,730 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 37/334, 934/548, 667/730?
Answer: LCM of Numerators as per given numbers 37/334, 934/548, 667/730 is
LCM of Numerators i.e. for 37,934,667 is 23050186
GCF of denominators i.e. for 334,548,730 is 2.
Thus, LCM of Fractions is 11525093.Finally, LCM of Fractions for 37/334, 934/548, 667/730 is 11525093.