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LCM of 184, 229, 199, 363, 740

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


Find the LCM of 184, 229, 199, 363, 740 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, 229, 199, 363, 740. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 184,229,199,363,740

Given numbers are 184,229,199,363,740

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

The LCM of 184,229,199,363,740 is 563098972920.

Find LCM of 184,229,199,363,740 with Prime Factorization


2 184, 229, 199, 363, 740
2 92, 229, 199, 363, 370
46, 229, 199, 363, 185

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

2 x 2 x 46 x 229 x 199 x 363 x 185 = 563098972920

Therefore, the lowest common multiple of 184,229,199,363,740 is 563098972920.

LCM Formula to Find Lowest Common Multiple of 184,229,199,363,740

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 229 x 199 x 363 x 740 = 2252395891680

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

229 : 1, 229

199 : 1, 199

363 : 1, 3, 11, 33, 121, 363

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 184,229,199,363,740, is 1.

Now, the common factors can be found like this.

184:2x 2x 2x 23

229:229

199:199

363:3x 11x 11

740:2x 2x 5x 37

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 2252395891680/(1x4)

LCM = 2252395891680/4

LCM = 563098972920

Thus, we can understand that the LCM of 184,229,199,363,740 is 563098972920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 184, 229, 199, 363, 740

1. What is the LCM of 184, 229, 199, 363, 740?

Answer: LCM of 184, 229, 199, 363, 740 is 563098972920.

2. How to calculate the LCM of 184, 229, 199, 363, 740?

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, 229, 199, 363, 740.

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}.