Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 750/420, 4159/9080 quickly i.e. 3119250/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 750/420, 4159/9080 is 3119250/20.
LCM(750/420, 4159/9080) = 3119250/20
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 750/420,4159/9080
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 750,4159
Least Common Multiple of Numerators i.e. LCM of 750,4159 is 3119250.
GCF of Denominators means GCF of 420,9080 as per the given fractions.
GCF of 420,9080 is 20 as it is the largest common factor for these numbers.
Lets's calculate LCM of 750,4159
Given numbers has no common factors except 1. So, there LCM is their product i.e 3119250
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 750,4159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(750,4159) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(750,4159) x common factors =1 x 1 = 1
LCM(750,4159) = ( 750 × 4159 ) / 1
LCM(750,4159) = 3119250 / 1
LCM(750,4159) = 3119250
Lets's calculate GCF of 420,9080
2 | 420, 9080 |
2 | 210, 4540 |
5 | 105, 2270 |
21, 454 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3119250/20
Therefore the LCM of Fractions 750/420,4159/9080 is 3119250/20
Factors of 420
List of positive integer factors of 420 that divides 420 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Factors of 9080
List of positive integer factors of 9080 that divides 9080 without a remainder.
1,2,4,5,8,10,20,40,227,454,908,1135,1816,2270,4540,9080
Greatest Common Factor
We found the factors 420,9080 . The biggest common factor number is the GCF number.
So the greatest common factor 420,9080 is 20.
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 750/420, 4159/9080?
Answer: LCM of Numerators as per given numbers 750/420, 4159/9080 is
LCM of Numerators i.e. for 750,4159 is 3119250
GCF of denominators i.e. for 420,9080 is 20.
Thus, LCM of Fractions is 3119250/20.Finally, LCM of Fractions for 750/420, 4159/9080 is 3119250/20.