Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 92/71, 525/63, 875/938 quickly i.e. 241500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 92/71, 525/63, 875/938 is 241500.
LCM(92/71, 525/63, 875/938) = 241500
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 92/71,525/63,875/938
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 92,525,875
Least Common Multiple of Numerators i.e. LCM of 92,525,875 is 241500.
GCF of Denominators means GCF of 71,63,938 as per the given fractions.
GCF of 71,63,938 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 92,525,875
5 | 92, 525, 875 |
5 | 92, 105, 175 |
7 | 92, 21, 35 |
92, 3, 5 |
∴ So the LCM of the given numbers is 5 x 5 x 7 x 92 x 3 x 5 = 241500
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 92,525,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,525,875) = 1
common factors(in case of two or more numbers have common factors) = 175
GCF(92,525,875) x common factors =1 x 175 = 175
LCM(92,525,875) = ( 92 × 525 × 875 ) / 175
LCM(92,525,875) = 42262500 / 175
LCM(92,525,875) = 241500
Lets's calculate GCF of 71,63,938
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 241500/1
Therefore the LCM of Fractions 92/71,525/63,875/938 is 241500
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 938
List of positive integer factors of 938 that divides 938 without a remainder.
1,2,7,14,67,134,469,938
Greatest Common Factor
We found the factors 71,63,938 . The biggest common factor number is the GCF number.
So the greatest common factor 71,63,938 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 92/71, 525/63, 875/938?
Answer: LCM of Numerators as per given numbers 92/71, 525/63, 875/938 is
LCM of Numerators i.e. for 92,525,875 is 241500
GCF of denominators i.e. for 71,63,938 is 1.
Thus, LCM of Fractions is 241500.Finally, LCM of Fractions for 92/71, 525/63, 875/938 is 241500.