Least Common Multiple of 2843/928, 5485/6608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2843/928, 5485/6608 quickly i.e. 15593855/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2843/928, 5485/6608 is 15593855/16.

LCM(2843/928, 5485/6608) = 15593855/16

LCM of 2843/928, 5485/6608

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 2843/928,5485/6608

Given numbers are 2843/928,5485/6608

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 2843,5485

Least Common Multiple of Numerators i.e. LCM of 2843,5485 is 15593855.

GCF of Denominators means GCF of 928,6608 as per the given fractions.

GCF of 928,6608 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2843,5485

LCM of Fractions 2843/928,5485/6608 is 15593855/16

Given numbers has no common factors except 1. So, there LCM is their product i.e 15593855

Least Common Multiple of 2843,5485 with GCF Formula

Least Common Multiple of 2843,5485 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 2843,5485 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2843,5485) = 1

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

GCF(2843,5485) x common factors =1 x 1 = 1

LCM(2843,5485) = ( 2843 × 5485 ) / 1

LCM(2843,5485) = 15593855 / 1

LCM(2843,5485) = 15593855


Lets's calculate GCF of 928,6608

2 928, 6608
2 464, 3304
2 232, 1652
2 116, 826
58, 413

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15593855/16

Therefore the LCM of Fractions 2843/928,5485/6608 is 15593855/16

Greatest Common Factor of 928,6608 By Matching Biggest Common Factor Method

Greatest Common Factor of 928,6608 By Matching Biggest Common Factor Method

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Factors of 6608

List of positive integer factors of 6608 that divides 6608 without a remainder.

1,2,4,7,8,14,16,28,56,59,112,118,236,413,472,826,944,1652,3304,6608

Greatest Common Factor

We found the factors 928,6608 . The biggest common factor number is the GCF number.
So the greatest common factor 928,6608 is 16.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2843/928, 5485/6608

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 2843/928, 5485/6608?

Answer: LCM of Numerators as per given numbers 2843/928, 5485/6608 is

LCM of Numerators i.e. for 2843,5485 is 15593855

GCF of denominators i.e. for 928,6608 is 16.

Thus, LCM of Fractions is 15593855/16.Finally, LCM of Fractions for 2843/928, 5485/6608 is 15593855/16.