Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 352/167, 607/644, 290/607 quickly i.e. 30981280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 352/167, 607/644, 290/607 is 30981280.
LCM(352/167, 607/644, 290/607) = 30981280
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 352/167,607/644,290/607
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 352,607,290
Least Common Multiple of Numerators i.e. LCM of 352,607,290 is 30981280.
GCF of Denominators means GCF of 167,644,607 as per the given fractions.
GCF of 167,644,607 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 352,607,290
2 | 352, 607, 290 |
176, 607, 145 |
∴ So the LCM of the given numbers is 2 x 176 x 607 x 145 = 30981280
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 352,607,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(352,607,290) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(352,607,290) x common factors =1 x 2 = 2
LCM(352,607,290) = ( 352 × 607 × 290 ) / 2
LCM(352,607,290) = 61962560 / 2
LCM(352,607,290) = 30981280
Lets's calculate GCF of 167,644,607
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30981280/1
Therefore the LCM of Fractions 352/167,607/644,290/607 is 30981280
Factors of 167
List of positive integer factors of 167 that divides 167 without a remainder.
1,167
Factors of 644
List of positive integer factors of 644 that divides 644 without a remainder.
1,2,4,7,14,23,28,46,92,161,322,644
Factors of 607
List of positive integer factors of 607 that divides 607 without a remainder.
1,607
Greatest Common Factor
We found the factors 167,644,607 . The biggest common factor number is the GCF number.
So the greatest common factor 167,644,607 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 352/167, 607/644, 290/607?
Answer: LCM of Numerators as per given numbers 352/167, 607/644, 290/607 is
LCM of Numerators i.e. for 352,607,290 is 30981280
GCF of denominators i.e. for 167,644,607 is 1.
Thus, LCM of Fractions is 30981280.Finally, LCM of Fractions for 352/167, 607/644, 290/607 is 30981280.