Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 386/89, 821/43, 358/624 quickly i.e. 56726174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 386/89, 821/43, 358/624 is 56726174.
LCM(386/89, 821/43, 358/624) = 56726174
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 386/89,821/43,358/624
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 386,821,358
Least Common Multiple of Numerators i.e. LCM of 386,821,358 is 56726174.
GCF of Denominators means GCF of 89,43,624 as per the given fractions.
GCF of 89,43,624 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 386,821,358
2 | 386, 821, 358 |
193, 821, 179 |
∴ So the LCM of the given numbers is 2 x 193 x 821 x 179 = 56726174
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 386,821,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(386,821,358) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(386,821,358) x common factors =1 x 2 = 2
LCM(386,821,358) = ( 386 × 821 × 358 ) / 2
LCM(386,821,358) = 113452348 / 2
LCM(386,821,358) = 56726174
Lets's calculate GCF of 89,43,624
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56726174/1
Therefore the LCM of Fractions 386/89,821/43,358/624 is 56726174
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
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
Greatest Common Factor
We found the factors 89,43,624 . The biggest common factor number is the GCF number.
So the greatest common factor 89,43,624 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 386/89, 821/43, 358/624?
Answer: LCM of Numerators as per given numbers 386/89, 821/43, 358/624 is
LCM of Numerators i.e. for 386,821,358 is 56726174
GCF of denominators i.e. for 89,43,624 is 1.
Thus, LCM of Fractions is 56726174.Finally, LCM of Fractions for 386/89, 821/43, 358/624 is 56726174.