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LCM of 184, 782, 299, 747

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 184, 782, 299, 747 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 184, 782, 299, 747. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 184,782,299,747

Given numbers are 184,782,299,747

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 184,782,299,747 is 30376008.

Find LCM of 184,782,299,747 with Prime Factorization


2 184, 782, 299, 747
23 92, 391, 299, 747
4, 17, 13, 747

Multiply the prime numbers at the bottom and the left side.

2 x 23 x 4 x 17 x 13 x 747 = 30376008

Therefore, the lowest common multiple of 184,782,299,747 is 30376008.

LCM Formula to Find Lowest Common Multiple of 184,782,299,747

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

184 x 782 x 299 x 747 = 32137816464

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

184 : 1, 2, 4, 8, 23, 46, 92, 184

782 : 1, 2, 17, 23, 34, 46, 391, 782

299 : 1, 13, 23, 299

747 : 1, 3, 9, 83, 249, 747

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 184,782,299,747, is 1.

Now, the common factors can be found like this.

184:2x 2x 2x 23

782:2x 17x 23

299:13x 23

747:3x 3x 83

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 23x 23 = 1058

Therefore, the value for common factors is 1058.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 32137816464/(1x1058)

LCM = 32137816464/1058

LCM = 30376008

Thus, we can understand that the LCM of 184,782,299,747 is 30376008.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 184, 782, 299, 747

1. What is the LCM of 184, 782, 299, 747?

Answer: LCM of 184, 782, 299, 747 is 30376008.

2. How to calculate the LCM of 184, 782, 299, 747?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 184, 782, 299, 747.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.