Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 680/950, 215/672, 587/268 quickly i.e. 8581940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 680/950, 215/672, 587/268 is 8581940.
LCM(680/950, 215/672, 587/268) = 8581940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 680/950,215/672,587/268
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 680,215,587
Least Common Multiple of Numerators i.e. LCM of 680,215,587 is 17163880.
GCF of Denominators means GCF of 950,672,268 as per the given fractions.
GCF of 950,672,268 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 680,215,587
5 | 680, 215, 587 |
136, 43, 587 |
∴ So the LCM of the given numbers is 5 x 136 x 43 x 587 = 17163880
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 680,215,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(680,215,587) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(680,215,587) x common factors =1 x 5 = 5
LCM(680,215,587) = ( 680 × 215 × 587 ) / 5
LCM(680,215,587) = 85819400 / 5
LCM(680,215,587) = 17163880
Lets's calculate GCF of 950,672,268
2 | 950, 672, 268 |
475, 336, 134 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17163880/2
Therefore the LCM of Fractions 680/950,215/672,587/268 is 8581940
Factors of 950
List of positive integer factors of 950 that divides 950 without a remainder.
1,2,5,10,19,25,38,50,95,190,475,950
Factors of 672
List of positive integer factors of 672 that divides 672 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672
Factors of 268
List of positive integer factors of 268 that divides 268 without a remainder.
1,2,4,67,134,268
Greatest Common Factor
We found the factors 950,672,268 . The biggest common factor number is the GCF number.
So the greatest common factor 950,672,268 is 2.
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 680/950, 215/672, 587/268?
Answer: LCM of Numerators as per given numbers 680/950, 215/672, 587/268 is
LCM of Numerators i.e. for 680,215,587 is 17163880
GCF of denominators i.e. for 950,672,268 is 2.
Thus, LCM of Fractions is 8581940.Finally, LCM of Fractions for 680/950, 215/672, 587/268 is 8581940.