Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 880/70, 349/2155 quickly i.e. 61424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 880/70, 349/2155 is 61424.
LCM(880/70, 349/2155) = 61424
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 880/70,349/2155
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 880,349
Least Common Multiple of Numerators i.e. LCM of 880,349 is 307120.
GCF of Denominators means GCF of 70,2155 as per the given fractions.
GCF of 70,2155 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 880,349
Given numbers has no common factors except 1. So, there LCM is their product i.e 307120
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 880,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(880,349) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(880,349) x common factors =1 x 1 = 1
LCM(880,349) = ( 880 × 349 ) / 1
LCM(880,349) = 307120 / 1
LCM(880,349) = 307120
Lets's calculate GCF of 70,2155
5 | 70, 2155 |
14, 431 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 307120/5
Therefore the LCM of Fractions 880/70,349/2155 is 61424
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 2155
List of positive integer factors of 2155 that divides 2155 without a remainder.
1,5,431,2155
Greatest Common Factor
We found the factors 70,2155 . The biggest common factor number is the GCF number.
So the greatest common factor 70,2155 is 5.
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 880/70, 349/2155?
Answer: LCM of Numerators as per given numbers 880/70, 349/2155 is
LCM of Numerators i.e. for 880,349 is 307120
GCF of denominators i.e. for 70,2155 is 5.
Thus, LCM of Fractions is 61424.Finally, LCM of Fractions for 880/70, 349/2155 is 61424.