Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 428/70, 301/2520 quickly i.e. 128828/70 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 428/70, 301/2520 is 128828/70.
LCM(428/70, 301/2520) = 128828/70
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 428/70,301/2520
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 428,301
Least Common Multiple of Numerators i.e. LCM of 428,301 is 128828.
GCF of Denominators means GCF of 70,2520 as per the given fractions.
GCF of 70,2520 is 70 as it is the largest common factor for these numbers.
Lets's calculate LCM of 428,301
Given numbers has no common factors except 1. So, there LCM is their product i.e 128828
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 428,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(428,301) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(428,301) x common factors =1 x 1 = 1
LCM(428,301) = ( 428 × 301 ) / 1
LCM(428,301) = 128828 / 1
LCM(428,301) = 128828
Lets's calculate GCF of 70,2520
2 | 70, 2520 |
5 | 35, 1260 |
7 | 7, 252 |
1, 36 |
∴ So the GCF of the given numbers is 2 x 5 x 7 = 70
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 128828/70
Therefore the LCM of Fractions 428/70,301/2520 is 128828/70
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 2520
List of positive integer factors of 2520 that divides 2520 without a remainder.
1,2,3,4,5,6,7,8,9,10,12,14,15,18,20,21,24,28,30,35,36,40,42,45,56,60,63,70,72,84,90,105,120,126,140,168,180,210,252,280,315,360,420,504,630,840,1260,2520
Greatest Common Factor
We found the factors 70,2520 . The biggest common factor number is the GCF number.
So the greatest common factor 70,2520 is 70.
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 428/70, 301/2520?
Answer: LCM of Numerators as per given numbers 428/70, 301/2520 is
LCM of Numerators i.e. for 428,301 is 128828
GCF of denominators i.e. for 70,2520 is 70.
Thus, LCM of Fractions is 128828/70.Finally, LCM of Fractions for 428/70, 301/2520 is 128828/70.