Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 435/88, 662/14, 911/974 quickly i.e. 131170335 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 435/88, 662/14, 911/974 is 131170335.
LCM(435/88, 662/14, 911/974) = 131170335
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 435/88,662/14,911/974
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 435,662,911
Least Common Multiple of Numerators i.e. LCM of 435,662,911 is 262340670.
GCF of Denominators means GCF of 88,14,974 as per the given fractions.
GCF of 88,14,974 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 435,662,911
Given numbers has no common factors except 1. So, there LCM is their product i.e 262340670
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 435,662,911 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(435,662,911) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(435,662,911) x common factors =1 x 1 = 1
LCM(435,662,911) = ( 435 × 662 × 911 ) / 1
LCM(435,662,911) = 262340670 / 1
LCM(435,662,911) = 262340670
Lets's calculate GCF of 88,14,974
2 | 88, 14, 974 |
44, 7, 487 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 262340670/2
Therefore the LCM of Fractions 435/88,662/14,911/974 is 131170335
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 974
List of positive integer factors of 974 that divides 974 without a remainder.
1,2,487,974
Greatest Common Factor
We found the factors 88,14,974 . The biggest common factor number is the GCF number.
So the greatest common factor 88,14,974 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 435/88, 662/14, 911/974?
Answer: LCM of Numerators as per given numbers 435/88, 662/14, 911/974 is
LCM of Numerators i.e. for 435,662,911 is 262340670
GCF of denominators i.e. for 88,14,974 is 2.
Thus, LCM of Fractions is 131170335.Finally, LCM of Fractions for 435/88, 662/14, 911/974 is 131170335.