Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 358/38, 572/70, 378/817 quickly i.e. 19351332 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 358/38, 572/70, 378/817 is 19351332.
LCM(358/38, 572/70, 378/817) = 19351332
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 358/38,572/70,378/817
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 358,572,378
Least Common Multiple of Numerators i.e. LCM of 358,572,378 is 19351332.
GCF of Denominators means GCF of 38,70,817 as per the given fractions.
GCF of 38,70,817 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 358,572,378
2 | 358, 572, 378 |
179, 286, 189 |
∴ So the LCM of the given numbers is 2 x 179 x 286 x 189 = 19351332
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 358,572,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(358,572,378) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(358,572,378) x common factors =2 x 2 = 4
LCM(358,572,378) = ( 358 × 572 × 378 ) / 4
LCM(358,572,378) = 77405328 / 4
LCM(358,572,378) = 19351332
Lets's calculate GCF of 38,70,817
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19351332/1
Therefore the LCM of Fractions 358/38,572/70,378/817 is 19351332
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 817
List of positive integer factors of 817 that divides 817 without a remainder.
1,19,43,817
Greatest Common Factor
We found the factors 38,70,817 . The biggest common factor number is the GCF number.
So the greatest common factor 38,70,817 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 358/38, 572/70, 378/817?
Answer: LCM of Numerators as per given numbers 358/38, 572/70, 378/817 is
LCM of Numerators i.e. for 358,572,378 is 19351332
GCF of denominators i.e. for 38,70,817 is 1.
Thus, LCM of Fractions is 19351332.Finally, LCM of Fractions for 358/38, 572/70, 378/817 is 19351332.