Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 858/950, 817/628, 326/778 quickly i.e. 57130359 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 858/950, 817/628, 326/778 is 57130359.
LCM(858/950, 817/628, 326/778) = 57130359
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 858/950,817/628,326/778
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 858,817,326
Least Common Multiple of Numerators i.e. LCM of 858,817,326 is 114260718.
GCF of Denominators means GCF of 950,628,778 as per the given fractions.
GCF of 950,628,778 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 858,817,326
2 | 858, 817, 326 |
429, 817, 163 |
∴ So the LCM of the given numbers is 2 x 429 x 817 x 163 = 114260718
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 858,817,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(858,817,326) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(858,817,326) x common factors =1 x 2 = 2
LCM(858,817,326) = ( 858 × 817 × 326 ) / 2
LCM(858,817,326) = 228521436 / 2
LCM(858,817,326) = 114260718
Lets's calculate GCF of 950,628,778
2 | 950, 628, 778 |
475, 314, 389 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114260718/2
Therefore the LCM of Fractions 858/950,817/628,326/778 is 57130359
Factors of 950
List of positive integer factors of 950 that divides 950 without a remainder.
1,2,5,10,19,25,38,50,95,190,475,950
Factors of 628
List of positive integer factors of 628 that divides 628 without a remainder.
1,2,4,157,314,628
Factors of 778
List of positive integer factors of 778 that divides 778 without a remainder.
1,2,389,778
Greatest Common Factor
We found the factors 950,628,778 . The biggest common factor number is the GCF number.
So the greatest common factor 950,628,778 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 858/950, 817/628, 326/778?
Answer: LCM of Numerators as per given numbers 858/950, 817/628, 326/778 is
LCM of Numerators i.e. for 858,817,326 is 114260718
GCF of denominators i.e. for 950,628,778 is 2.
Thus, LCM of Fractions is 57130359.Finally, LCM of Fractions for 858/950, 817/628, 326/778 is 57130359.