Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 34/187, 67/430, 307/908 quickly i.e. 699346 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 34/187, 67/430, 307/908 is 699346.
LCM(34/187, 67/430, 307/908) = 699346
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 34/187,67/430,307/908
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 34,67,307
Least Common Multiple of Numerators i.e. LCM of 34,67,307 is 699346.
GCF of Denominators means GCF of 187,430,908 as per the given fractions.
GCF of 187,430,908 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 34,67,307
Given numbers has no common factors except 1. So, there LCM is their product i.e 699346
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 34,67,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,67,307) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(34,67,307) x common factors =1 x 1 = 1
LCM(34,67,307) = ( 34 × 67 × 307 ) / 1
LCM(34,67,307) = 699346 / 1
LCM(34,67,307) = 699346
Lets's calculate GCF of 187,430,908
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 699346/1
Therefore the LCM of Fractions 34/187,67/430,307/908 is 699346
Factors of 187
List of positive integer factors of 187 that divides 187 without a remainder.
1,11,17,187
Factors of 430
List of positive integer factors of 430 that divides 430 without a remainder.
1,2,5,10,43,86,215,430
Factors of 908
List of positive integer factors of 908 that divides 908 without a remainder.
1,2,4,227,454,908
Greatest Common Factor
We found the factors 187,430,908 . The biggest common factor number is the GCF number.
So the greatest common factor 187,430,908 is 1.
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 34/187, 67/430, 307/908?
Answer: LCM of Numerators as per given numbers 34/187, 67/430, 307/908 is
LCM of Numerators i.e. for 34,67,307 is 699346
GCF of denominators i.e. for 187,430,908 is 1.
Thus, LCM of Fractions is 699346.Finally, LCM of Fractions for 34/187, 67/430, 307/908 is 699346.