Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/97, 46/850, 205/640 quickly i.e. 292330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/97, 46/850, 205/640 is 292330.
LCM(62/97, 46/850, 205/640) = 292330
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/97,46/850,205/640
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 62,46,205
Least Common Multiple of Numerators i.e. LCM of 62,46,205 is 292330.
GCF of Denominators means GCF of 97,850,640 as per the given fractions.
GCF of 97,850,640 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,46,205
2 | 62, 46, 205 |
31, 23, 205 |
∴ So the LCM of the given numbers is 2 x 31 x 23 x 205 = 292330
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 62,46,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,46,205) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(62,46,205) x common factors =1 x 2 = 2
LCM(62,46,205) = ( 62 × 46 × 205 ) / 2
LCM(62,46,205) = 584660 / 2
LCM(62,46,205) = 292330
Lets's calculate GCF of 97,850,640
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 292330/1
Therefore the LCM of Fractions 62/97,46/850,205/640 is 292330
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 850
List of positive integer factors of 850 that divides 850 without a remainder.
1,2,5,10,17,25,34,50,85,170,425,850
Factors of 640
List of positive integer factors of 640 that divides 640 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640
Greatest Common Factor
We found the factors 97,850,640 . The biggest common factor number is the GCF number.
So the greatest common factor 97,850,640 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 62/97, 46/850, 205/640?
Answer: LCM of Numerators as per given numbers 62/97, 46/850, 205/640 is
LCM of Numerators i.e. for 62,46,205 is 292330
GCF of denominators i.e. for 97,850,640 is 1.
Thus, LCM of Fractions is 292330.Finally, LCM of Fractions for 62/97, 46/850, 205/640 is 292330.