Least Common Multiple of 449/25, 380/3080

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 449/25, 380/3080 quickly i.e. 34124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 449/25, 380/3080 is 34124.

LCM(449/25, 380/3080) = 34124

LCM of 449/25, 380/3080

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 449/25,380/3080

Given numbers are 449/25,380/3080

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 449,380

Least Common Multiple of Numerators i.e. LCM of 449,380 is 170620.

GCF of Denominators means GCF of 25,3080 as per the given fractions.

GCF of 25,3080 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 449,380

LCM of Fractions 449/25,380/3080 is 34124

Given numbers has no common factors except 1. So, there LCM is their product i.e 170620

Least Common Multiple of 449,380 with GCF Formula

Least Common Multiple of 449,380 with GCF Formula

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 449,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(449,380) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(449,380) x common factors =1 x 1 = 1

LCM(449,380) = ( 449 × 380 ) / 1

LCM(449,380) = 170620 / 1

LCM(449,380) = 170620


Lets's calculate GCF of 25,3080

5 25, 3080
5, 616

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 170620/5

Therefore the LCM of Fractions 449/25,380/3080 is 34124

Greatest Common Factor of 25,3080 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,3080 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 3080

List of positive integer factors of 3080 that divides 3080 without a remainder.

1,2,4,5,7,8,10,11,14,20,22,28,35,40,44,55,56,70,77,88,110,140,154,220,280,308,385,440,616,770,1540,3080

Greatest Common Factor

We found the factors 25,3080 . The biggest common factor number is the GCF number.
So the greatest common factor 25,3080 is 5.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 449/25, 380/3080

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 449/25, 380/3080?

Answer: LCM of Numerators as per given numbers 449/25, 380/3080 is

LCM of Numerators i.e. for 449,380 is 170620

GCF of denominators i.e. for 25,3080 is 5.

Thus, LCM of Fractions is 34124.Finally, LCM of Fractions for 449/25, 380/3080 is 34124.