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LCM of 426, 429, 390, 412

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


Find the LCM of 426, 429, 390, 412 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 426, 429, 390, 412. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 426,429,390,412

Given numbers are 426,429,390,412

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

The LCM of 426,429,390,412 is 62745540.

Find LCM of 426,429,390,412 with Prime Factorization


2 426, 429, 390, 412
3 213, 429, 195, 206
13 71, 143, 65, 206
71, 11, 5, 206

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

2 x 3 x 13 x 71 x 11 x 5 x 206 = 62745540

Therefore, the lowest common multiple of 426,429,390,412 is 62745540.

LCM Formula to Find Lowest Common Multiple of 426,429,390,412

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.

426 x 429 x 390 x 412 = 29364912720

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.

426 : 1, 2, 3, 6, 71, 142, 213, 426

429 : 1, 3, 11, 13, 33, 39, 143, 429

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

412 : 1, 2, 4, 103, 206, 412

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,429,390,412, is 1.

Now, the common factors can be found like this.

426:2x 3x 71

429:3x 11x 13

390:2x 3x 5x 13

412:2x 2x 103

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 3x 3x 13 = 468

Therefore, the value for common factors is 468.

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 = 29364912720/(1x468)

LCM = 29364912720/468

LCM = 62745540

Thus, we can understand that the LCM of 426,429,390,412 is 62745540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 426, 429, 390, 412

1. What is the LCM of 426, 429, 390, 412?

Answer: LCM of 426, 429, 390, 412 is 62745540.

2. How to calculate the LCM of 426, 429, 390, 412?

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 426, 429, 390, 412.

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}.