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LCM of 340, 302, 420, 530, 604

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


Find the LCM of 340, 302, 420, 530, 604 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 340, 302, 420, 530, 604. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 340,302,420,530,604

Given numbers are 340,302,420,530,604

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

The LCM of 340,302,420,530,604 is 57141420.

Find LCM of 340,302,420,530,604 with Prime Factorization


2 340, 302, 420, 530, 604
2 170, 151, 210, 265, 302
5 85, 151, 105, 265, 151
151 17, 151, 21, 53, 151
17, 1, 21, 53, 1

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

2 x 2 x 5 x 151 x 17 x 1 x 21 x 53 x 1 = 57141420

Therefore, the lowest common multiple of 340,302,420,530,604 is 57141420.

LCM Formula to Find Lowest Common Multiple of 340,302,420,530,604

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.

340 x 302 x 420 x 530 x 604 = 13805367072000

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.

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

302 : 1, 2, 151, 302

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

530 : 1, 2, 5, 10, 53, 106, 265, 530

604 : 1, 2, 4, 151, 302, 604

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 340,302,420,530,604, is 2.

Now, the common factors can be found like this.

340:2x 2x 5x 17

302:2x 151

420:2x 2x 3x 5x 7

530:2x 5x 53

604:2x 2x 151

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

2x 2x 2x 2x 2x 5x 5x 151 = 120800

Therefore, the value for common factors is 120800.

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 = 13805367072000/(2x120800)

LCM = 13805367072000/241600

LCM = 57141420

Thus, we can understand that the LCM of 340,302,420,530,604 is 57141420.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 340, 302, 420, 530, 604

1. What is the LCM of 340, 302, 420, 530, 604?

Answer: LCM of 340, 302, 420, 530, 604 is 57141420.

2. How to calculate the LCM of 340, 302, 420, 530, 604?

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 340, 302, 420, 530, 604.

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}.