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LCM of 420, 384, 742, 549

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


Find the LCM of 420, 384, 742, 549 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 420, 384, 742, 549. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 420,384,742,549

Given numbers are 420,384,742,549

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

The LCM of 420,384,742,549 is 130354560.

Find LCM of 420,384,742,549 with Prime Factorization


2 420, 384, 742, 549
2 210, 192, 371, 549
3 105, 96, 371, 549
7 35, 32, 371, 183
5, 32, 53, 183

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

2 x 2 x 3 x 7 x 5 x 32 x 53 x 183 = 130354560

Therefore, the lowest common multiple of 420,384,742,549 is 130354560.

LCM Formula to Find Lowest Common Multiple of 420,384,742,549

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.

420 x 384 x 742 x 549 = 65698698240

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.

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

384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

742 : 1, 2, 7, 14, 53, 106, 371, 742

549 : 1, 3, 9, 61, 183, 549

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,384,742,549, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

384:2x 2x 2x 2x 2x 2x 2x 3

742:2x 7x 53

549:3x 3x 61

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 3x 3x 7 = 504

Therefore, the value for common factors is 504.

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 = 65698698240/(1x504)

LCM = 65698698240/504

LCM = 130354560

Thus, we can understand that the LCM of 420,384,742,549 is 130354560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 420, 384, 742, 549

1. What is the LCM of 420, 384, 742, 549?

Answer: LCM of 420, 384, 742, 549 is 130354560.

2. How to calculate the LCM of 420, 384, 742, 549?

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 420, 384, 742, 549.

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}.