Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 35/316, 25/250, 436/548 quickly i.e. 38150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 35/316, 25/250, 436/548 is 38150.
LCM(35/316, 25/250, 436/548) = 38150
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 35/316,25/250,436/548
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 35,25,436
Least Common Multiple of Numerators i.e. LCM of 35,25,436 is 76300.
GCF of Denominators means GCF of 316,250,548 as per the given fractions.
GCF of 316,250,548 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 35,25,436
5 | 35, 25, 436 |
7, 5, 436 |
∴ So the LCM of the given numbers is 5 x 7 x 5 x 436 = 76300
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 35,25,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,25,436) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(35,25,436) x common factors =1 x 5 = 5
LCM(35,25,436) = ( 35 × 25 × 436 ) / 5
LCM(35,25,436) = 381500 / 5
LCM(35,25,436) = 76300
Lets's calculate GCF of 316,250,548
2 | 316, 250, 548 |
158, 125, 274 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76300/2
Therefore the LCM of Fractions 35/316,25/250,436/548 is 38150
Factors of 316
List of positive integer factors of 316 that divides 316 without a remainder.
1,2,4,79,158,316
Factors of 250
List of positive integer factors of 250 that divides 250 without a remainder.
1,2,5,10,25,50,125,250
Factors of 548
List of positive integer factors of 548 that divides 548 without a remainder.
1,2,4,137,274,548
Greatest Common Factor
We found the factors 316,250,548 . The biggest common factor number is the GCF number.
So the greatest common factor 316,250,548 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 35/316, 25/250, 436/548?
Answer: LCM of Numerators as per given numbers 35/316, 25/250, 436/548 is
LCM of Numerators i.e. for 35,25,436 is 76300
GCF of denominators i.e. for 316,250,548 is 2.
Thus, LCM of Fractions is 38150.Finally, LCM of Fractions for 35/316, 25/250, 436/548 is 38150.