Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 35/430, 30/948, 451/776 quickly i.e. 47355 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 35/430, 30/948, 451/776 is 47355.
LCM(35/430, 30/948, 451/776) = 47355
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 35/430,30/948,451/776
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 35,30,451
Least Common Multiple of Numerators i.e. LCM of 35,30,451 is 94710.
GCF of Denominators means GCF of 430,948,776 as per the given fractions.
GCF of 430,948,776 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 35,30,451
5 | 35, 30, 451 |
7, 6, 451 |
∴ So the LCM of the given numbers is 5 x 7 x 6 x 451 = 94710
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 35,30,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,30,451) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(35,30,451) x common factors =1 x 5 = 5
LCM(35,30,451) = ( 35 × 30 × 451 ) / 5
LCM(35,30,451) = 473550 / 5
LCM(35,30,451) = 94710
Lets's calculate GCF of 430,948,776
2 | 430, 948, 776 |
215, 474, 388 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94710/2
Therefore the LCM of Fractions 35/430,30/948,451/776 is 47355
Factors of 430
List of positive integer factors of 430 that divides 430 without a remainder.
1,2,5,10,43,86,215,430
Factors of 948
List of positive integer factors of 948 that divides 948 without a remainder.
1,2,3,4,6,12,79,158,237,316,474,948
Factors of 776
List of positive integer factors of 776 that divides 776 without a remainder.
1,2,4,8,97,194,388,776
Greatest Common Factor
We found the factors 430,948,776 . The biggest common factor number is the GCF number.
So the greatest common factor 430,948,776 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 35/430, 30/948, 451/776?
Answer: LCM of Numerators as per given numbers 35/430, 30/948, 451/776 is
LCM of Numerators i.e. for 35,30,451 is 94710
GCF of denominators i.e. for 430,948,776 is 2.
Thus, LCM of Fractions is 47355.Finally, LCM of Fractions for 35/430, 30/948, 451/776 is 47355.