Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2375/670, 1702/554 quickly i.e. 2021125 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2375/670, 1702/554 is 2021125.
LCM(2375/670, 1702/554) = 2021125
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2375/670,1702/554
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 2375,1702
Least Common Multiple of Numerators i.e. LCM of 2375,1702 is 4042250.
GCF of Denominators means GCF of 670,554 as per the given fractions.
GCF of 670,554 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2375,1702
Given numbers has no common factors except 1. So, there LCM is their product i.e 4042250
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 2375,1702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2375,1702) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2375,1702) x common factors =1 x 1 = 1
LCM(2375,1702) = ( 2375 × 1702 ) / 1
LCM(2375,1702) = 4042250 / 1
LCM(2375,1702) = 4042250
Lets's calculate GCF of 670,554
2 | 670, 554 |
335, 277 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4042250/2
Therefore the LCM of Fractions 2375/670,1702/554 is 2021125
Factors of 670
List of positive integer factors of 670 that divides 670 without a remainder.
1,2,5,10,67,134,335,670
Factors of 554
List of positive integer factors of 554 that divides 554 without a remainder.
1,2,277,554
Greatest Common Factor
We found the factors 670,554 . The biggest common factor number is the GCF number.
So the greatest common factor 670,554 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 2375/670, 1702/554?
Answer: LCM of Numerators as per given numbers 2375/670, 1702/554 is
LCM of Numerators i.e. for 2375,1702 is 4042250
GCF of denominators i.e. for 670,554 is 2.
Thus, LCM of Fractions is 2021125.Finally, LCM of Fractions for 2375/670, 1702/554 is 2021125.