Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 850/924, 3587/1867 quickly i.e. 179350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 850/924, 3587/1867 is 179350.
LCM(850/924, 3587/1867) = 179350
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 850/924,3587/1867
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 850,3587
Least Common Multiple of Numerators i.e. LCM of 850,3587 is 179350.
GCF of Denominators means GCF of 924,1867 as per the given fractions.
GCF of 924,1867 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 850,3587
17 | 850, 3587 |
50, 211 |
∴ So the LCM of the given numbers is 17 x 50 x 211 = 179350
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 850,3587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(850,3587) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(850,3587) x common factors =17 x 1 = 17
LCM(850,3587) = ( 850 × 3587 ) / 17
LCM(850,3587) = 3048950 / 17
LCM(850,3587) = 179350
Lets's calculate GCF of 924,1867
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 179350/1
Therefore the LCM of Fractions 850/924,3587/1867 is 179350
Factors of 924
List of positive integer factors of 924 that divides 924 without a remainder.
1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924
Factors of 1867
List of positive integer factors of 1867 that divides 1867 without a remainder.
1,1867
Greatest Common Factor
We found the factors 924,1867 . The biggest common factor number is the GCF number.
So the greatest common factor 924,1867 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 850/924, 3587/1867?
Answer: LCM of Numerators as per given numbers 850/924, 3587/1867 is
LCM of Numerators i.e. for 850,3587 is 179350
GCF of denominators i.e. for 924,1867 is 1.
Thus, LCM of Fractions is 179350.Finally, LCM of Fractions for 850/924, 3587/1867 is 179350.