Least Common Multiple of 2449/205, 4458/2960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2449/205, 4458/2960 quickly i.e. 10917642/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2449/205, 4458/2960 is 10917642/5.

LCM(2449/205, 4458/2960) = 10917642/5

LCM of 2449/205, 4458/2960

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 2449/205,4458/2960

Given numbers are 2449/205,4458/2960

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 2449,4458

Least Common Multiple of Numerators i.e. LCM of 2449,4458 is 10917642.

GCF of Denominators means GCF of 205,2960 as per the given fractions.

GCF of 205,2960 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2449,4458

LCM of Fractions 2449/205,4458/2960 is 10917642/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 10917642

Least Common Multiple of 2449,4458 with GCF Formula

Least Common Multiple of 2449,4458 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 2449,4458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2449,4458) = 1

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

GCF(2449,4458) x common factors =1 x 1 = 1

LCM(2449,4458) = ( 2449 × 4458 ) / 1

LCM(2449,4458) = 10917642 / 1

LCM(2449,4458) = 10917642


Lets's calculate GCF of 205,2960

5 205, 2960
41, 592

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10917642/5

Therefore the LCM of Fractions 2449/205,4458/2960 is 10917642/5

Greatest Common Factor of 205,2960 By Matching Biggest Common Factor Method

Greatest Common Factor of 205,2960 By Matching Biggest Common Factor Method

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Factors of 2960

List of positive integer factors of 2960 that divides 2960 without a remainder.

1,2,4,5,8,10,16,20,37,40,74,80,148,185,296,370,592,740,1480,2960

Greatest Common Factor

We found the factors 205,2960 . The biggest common factor number is the GCF number.
So the greatest common factor 205,2960 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 2449/205, 4458/2960

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 2449/205, 4458/2960?

Answer: LCM of Numerators as per given numbers 2449/205, 4458/2960 is

LCM of Numerators i.e. for 2449,4458 is 10917642

GCF of denominators i.e. for 205,2960 is 5.

Thus, LCM of Fractions is 10917642/5.Finally, LCM of Fractions for 2449/205, 4458/2960 is 10917642/5.