Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 876/385, 158/310, 669/535 quickly i.e. 15432492/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 876/385, 158/310, 669/535 is 15432492/5.
LCM(876/385, 158/310, 669/535) = 15432492/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 876/385,158/310,669/535
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 876,158,669
Least Common Multiple of Numerators i.e. LCM of 876,158,669 is 15432492.
GCF of Denominators means GCF of 385,310,535 as per the given fractions.
GCF of 385,310,535 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 876,158,669
2 | 876, 158, 669 |
3 | 438, 79, 669 |
146, 79, 223 |
∴ So the LCM of the given numbers is 2 x 3 x 146 x 79 x 223 = 15432492
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 876,158,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(876,158,669) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(876,158,669) x common factors =1 x 6 = 6
LCM(876,158,669) = ( 876 × 158 × 669 ) / 6
LCM(876,158,669) = 92594952 / 6
LCM(876,158,669) = 15432492
Lets's calculate GCF of 385,310,535
5 | 385, 310, 535 |
77, 62, 107 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15432492/5
Therefore the LCM of Fractions 876/385,158/310,669/535 is 15432492/5
Factors of 385
List of positive integer factors of 385 that divides 385 without a remainder.
1,5,7,11,35,55,77,385
Factors of 310
List of positive integer factors of 310 that divides 310 without a remainder.
1,2,5,10,31,62,155,310
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1,5,107,535
Greatest Common Factor
We found the factors 385,310,535 . The biggest common factor number is the GCF number.
So the greatest common factor 385,310,535 is 5.
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 876/385, 158/310, 669/535?
Answer: LCM of Numerators as per given numbers 876/385, 158/310, 669/535 is
LCM of Numerators i.e. for 876,158,669 is 15432492
GCF of denominators i.e. for 385,310,535 is 5.
Thus, LCM of Fractions is 15432492/5.Finally, LCM of Fractions for 876/385, 158/310, 669/535 is 15432492/5.