Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 14/358, 83/154, 781/274 quickly i.e. 453761 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 14/358, 83/154, 781/274 is 453761.
LCM(14/358, 83/154, 781/274) = 453761
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 14/358,83/154,781/274
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 14,83,781
Least Common Multiple of Numerators i.e. LCM of 14,83,781 is 907522.
GCF of Denominators means GCF of 358,154,274 as per the given fractions.
GCF of 358,154,274 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 14,83,781
Given numbers has no common factors except 1. So, there LCM is their product i.e 907522
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 14,83,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,83,781) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(14,83,781) x common factors =1 x 1 = 1
LCM(14,83,781) = ( 14 × 83 × 781 ) / 1
LCM(14,83,781) = 907522 / 1
LCM(14,83,781) = 907522
Lets's calculate GCF of 358,154,274
2 | 358, 154, 274 |
179, 77, 137 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 907522/2
Therefore the LCM of Fractions 14/358,83/154,781/274 is 453761
Factors of 358
List of positive integer factors of 358 that divides 358 without a remainder.
1,2,179,358
Factors of 154
List of positive integer factors of 154 that divides 154 without a remainder.
1,2,7,11,14,22,77,154
Factors of 274
List of positive integer factors of 274 that divides 274 without a remainder.
1,2,137,274
Greatest Common Factor
We found the factors 358,154,274 . The biggest common factor number is the GCF number.
So the greatest common factor 358,154,274 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 14/358, 83/154, 781/274?
Answer: LCM of Numerators as per given numbers 14/358, 83/154, 781/274 is
LCM of Numerators i.e. for 14,83,781 is 907522
GCF of denominators i.e. for 358,154,274 is 2.
Thus, LCM of Fractions is 453761.Finally, LCM of Fractions for 14/358, 83/154, 781/274 is 453761.