Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 950/92, 196/1715 quickly i.e. 93100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 950/92, 196/1715 is 93100.
LCM(950/92, 196/1715) = 93100
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 950/92,196/1715
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 950,196
Least Common Multiple of Numerators i.e. LCM of 950,196 is 93100.
GCF of Denominators means GCF of 92,1715 as per the given fractions.
GCF of 92,1715 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 950,196
2 | 950, 196 |
475, 98 |
∴ So the LCM of the given numbers is 2 x 475 x 98 = 93100
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 950,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(950,196) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(950,196) x common factors =2 x 1 = 2
LCM(950,196) = ( 950 × 196 ) / 2
LCM(950,196) = 186200 / 2
LCM(950,196) = 93100
Lets's calculate GCF of 92,1715
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93100/1
Therefore the LCM of Fractions 950/92,196/1715 is 93100
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 1715
List of positive integer factors of 1715 that divides 1715 without a remainder.
1,5,7,35,49,245,343,1715
Greatest Common Factor
We found the factors 92,1715 . The biggest common factor number is the GCF number.
So the greatest common factor 92,1715 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 950/92, 196/1715?
Answer: LCM of Numerators as per given numbers 950/92, 196/1715 is
LCM of Numerators i.e. for 950,196 is 93100
GCF of denominators i.e. for 92,1715 is 1.
Thus, LCM of Fractions is 93100.Finally, LCM of Fractions for 950/92, 196/1715 is 93100.