Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 356/20, 383/42, 234/910 quickly i.e. 7976358 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 356/20, 383/42, 234/910 is 7976358.
LCM(356/20, 383/42, 234/910) = 7976358
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 356/20,383/42,234/910
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 356,383,234
Least Common Multiple of Numerators i.e. LCM of 356,383,234 is 15952716.
GCF of Denominators means GCF of 20,42,910 as per the given fractions.
GCF of 20,42,910 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 356,383,234
2 | 356, 383, 234 |
178, 383, 117 |
∴ So the LCM of the given numbers is 2 x 178 x 383 x 117 = 15952716
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 356,383,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(356,383,234) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(356,383,234) x common factors =1 x 2 = 2
LCM(356,383,234) = ( 356 × 383 × 234 ) / 2
LCM(356,383,234) = 31905432 / 2
LCM(356,383,234) = 15952716
Lets's calculate GCF of 20,42,910
2 | 20, 42, 910 |
10, 21, 455 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15952716/2
Therefore the LCM of Fractions 356/20,383/42,234/910 is 7976358
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 910
List of positive integer factors of 910 that divides 910 without a remainder.
1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910
Greatest Common Factor
We found the factors 20,42,910 . The biggest common factor number is the GCF number.
So the greatest common factor 20,42,910 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 356/20, 383/42, 234/910?
Answer: LCM of Numerators as per given numbers 356/20, 383/42, 234/910 is
LCM of Numerators i.e. for 356,383,234 is 15952716
GCF of denominators i.e. for 20,42,910 is 2.
Thus, LCM of Fractions is 7976358.Finally, LCM of Fractions for 356/20, 383/42, 234/910 is 7976358.