Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 875/10, 319/22, 398/434 quickly i.e. 55545875 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 875/10, 319/22, 398/434 is 55545875.
LCM(875/10, 319/22, 398/434) = 55545875
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 875/10,319/22,398/434
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 875,319,398
Least Common Multiple of Numerators i.e. LCM of 875,319,398 is 111091750.
GCF of Denominators means GCF of 10,22,434 as per the given fractions.
GCF of 10,22,434 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 875,319,398
Given numbers has no common factors except 1. So, there LCM is their product i.e 111091750
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 875,319,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(875,319,398) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(875,319,398) x common factors =1 x 1 = 1
LCM(875,319,398) = ( 875 × 319 × 398 ) / 1
LCM(875,319,398) = 111091750 / 1
LCM(875,319,398) = 111091750
Lets's calculate GCF of 10,22,434
2 | 10, 22, 434 |
5, 11, 217 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111091750/2
Therefore the LCM of Fractions 875/10,319/22,398/434 is 55545875
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Greatest Common Factor
We found the factors 10,22,434 . The biggest common factor number is the GCF number.
So the greatest common factor 10,22,434 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 875/10, 319/22, 398/434?
Answer: LCM of Numerators as per given numbers 875/10, 319/22, 398/434 is
LCM of Numerators i.e. for 875,319,398 is 111091750
GCF of denominators i.e. for 10,22,434 is 2.
Thus, LCM of Fractions is 55545875.Finally, LCM of Fractions for 875/10, 319/22, 398/434 is 55545875.