Least Common Multiple of 11/41, 488/49, 555/896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 11/41, 488/49, 555/896 quickly i.e. 2979240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/41, 488/49, 555/896 is 2979240.

LCM(11/41, 488/49, 555/896) = 2979240

LCM of 11/41, 488/49, 555/896

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 11/41,488/49,555/896

Given numbers are 11/41,488/49,555/896

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 11,488,555

Least Common Multiple of Numerators i.e. LCM of 11,488,555 is 2979240.

GCF of Denominators means GCF of 41,49,896 as per the given fractions.

GCF of 41,49,896 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,488,555

LCM of Fractions 11/41,488/49,555/896 is 2979240

Given numbers has no common factors except 1. So, there LCM is their product i.e 2979240

Least Common Multiple of 11,488,555 with GCF Formula

Least Common Multiple of 11,488,555 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 11,488,555 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,488,555) = 1

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

GCF(11,488,555) x common factors =1 x 1 = 1

LCM(11,488,555) = ( 11 × 488 × 555 ) / 1

LCM(11,488,555) = 2979240 / 1

LCM(11,488,555) = 2979240


Lets's calculate GCF of 41,49,896

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2979240/1

Therefore the LCM of Fractions 11/41,488/49,555/896 is 2979240

Greatest Common Factor of 41,49,896 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,49,896 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Greatest Common Factor

We found the factors 41,49,896 . The biggest common factor number is the GCF number.
So the greatest common factor 41,49,896 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 11/41, 488/49, 555/896

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 11/41, 488/49, 555/896?

Answer: LCM of Numerators as per given numbers 11/41, 488/49, 555/896 is

LCM of Numerators i.e. for 11,488,555 is 2979240

GCF of denominators i.e. for 41,49,896 is 1.

Thus, LCM of Fractions is 2979240.Finally, LCM of Fractions for 11/41, 488/49, 555/896 is 2979240.