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LCM of 352, 485, 312, 429

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


Find the LCM of 352, 485, 312, 429 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 352, 485, 312, 429. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 352,485,312,429

Given numbers are 352,485,312,429

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

The LCM of 352,485,312,429 is 6658080.

Find LCM of 352,485,312,429 with Prime Factorization


2 352, 485, 312, 429
2 176, 485, 156, 429
2 88, 485, 78, 429
3 44, 485, 39, 429
11 44, 485, 13, 143
13 4, 485, 13, 13
4, 485, 1, 1

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

2 x 2 x 2 x 3 x 11 x 13 x 4 x 485 x 1 x 1 = 6658080

Therefore, the lowest common multiple of 352,485,312,429 is 6658080.

LCM Formula to Find Lowest Common Multiple of 352,485,312,429

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.

352 x 485 x 312 x 429 = 22850530560

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.

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

485 : 1, 5, 97, 485

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,485,312,429, is 1.

Now, the common factors can be found like this.

352:2x 2x 2x 2x 2x 11

485:5x 97

312:2x 2x 2x 3x 13

429:3x 11x 13

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 11x 13 = 3432

Therefore, the value for common factors is 3432.

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 = 22850530560/(1x3432)

LCM = 22850530560/3432

LCM = 6658080

Thus, we can understand that the LCM of 352,485,312,429 is 6658080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 352, 485, 312, 429

1. What is the LCM of 352, 485, 312, 429?

Answer: LCM of 352, 485, 312, 429 is 6658080.

2. How to calculate the LCM of 352, 485, 312, 429?

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 352, 485, 312, 429.

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}.