Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 268/358, 583/624, 837/588 quickly i.e. 65388114 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 268/358, 583/624, 837/588 is 65388114.
LCM(268/358, 583/624, 837/588) = 65388114
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 268/358,583/624,837/588
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 268,583,837
Least Common Multiple of Numerators i.e. LCM of 268,583,837 is 130776228.
GCF of Denominators means GCF of 358,624,588 as per the given fractions.
GCF of 358,624,588 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 268,583,837
Given numbers has no common factors except 1. So, there LCM is their product i.e 130776228
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 268,583,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(268,583,837) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(268,583,837) x common factors =1 x 1 = 1
LCM(268,583,837) = ( 268 × 583 × 837 ) / 1
LCM(268,583,837) = 130776228 / 1
LCM(268,583,837) = 130776228
Lets's calculate GCF of 358,624,588
2 | 358, 624, 588 |
179, 312, 294 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 130776228/2
Therefore the LCM of Fractions 268/358,583/624,837/588 is 65388114
Factors of 358
List of positive integer factors of 358 that divides 358 without a remainder.
1,2,179,358
Factors of 624
List of positive integer factors of 624 that divides 624 without a remainder.
1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624
Factors of 588
List of positive integer factors of 588 that divides 588 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588
Greatest Common Factor
We found the factors 358,624,588 . The biggest common factor number is the GCF number.
So the greatest common factor 358,624,588 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 268/358, 583/624, 837/588?
Answer: LCM of Numerators as per given numbers 268/358, 583/624, 837/588 is
LCM of Numerators i.e. for 268,583,837 is 130776228
GCF of denominators i.e. for 358,624,588 is 2.
Thus, LCM of Fractions is 65388114.Finally, LCM of Fractions for 268/358, 583/624, 837/588 is 65388114.