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LCM of 304, 391, 150, 709, 383

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


Find the LCM of 304, 391, 150, 709, 383 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 304, 391, 150, 709, 383. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 304,391,150,709,383

Given numbers are 304,391,150,709,383

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

The LCM of 304,391,150,709,383 is 2420787195600.

Find LCM of 304,391,150,709,383 with Prime Factorization


2 304, 391, 150, 709, 383
152, 391, 75, 709, 383

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

2 x 152 x 391 x 75 x 709 x 383 = 2420787195600

Therefore, the lowest common multiple of 304,391,150,709,383 is 2420787195600.

LCM Formula to Find Lowest Common Multiple of 304,391,150,709,383

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.

304 x 391 x 150 x 709 x 383 = 4841574391200

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.

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

391 : 1, 17, 23, 391

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

709 : 1, 709

383 : 1, 383

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,391,150,709,383, is 1.

Now, the common factors can be found like this.

304:2x 2x 2x 2x 19

391:17x 23

150:2x 3x 5x 5

709:709

383:383

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

2 = 2

Therefore, the value for common factors is 2.

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 = 4841574391200/(1x2)

LCM = 4841574391200/2

LCM = 2420787195600

Thus, we can understand that the LCM of 304,391,150,709,383 is 2420787195600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 304, 391, 150, 709, 383

1. What is the LCM of 304, 391, 150, 709, 383?

Answer: LCM of 304, 391, 150, 709, 383 is 2420787195600.

2. How to calculate the LCM of 304, 391, 150, 709, 383?

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 304, 391, 150, 709, 383.

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}.