Given numbers are 360,779,429,430,309

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

The LCM of 360,779,429,430,309 is 177615832680.

Find LCM of 360,779,429,430,309 with Prime Factorization

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

2 x 3 x 5 x 12 x 779 x 143 x 43 x 103 = 177615832680

Therefore, the lowest common multiple of 360,779,429,430,309 is 177615832680.

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.

360 x 779 x 429 x 430 x 309 = 15985424941200

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.

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

779 : 1, 19, 41, 779

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

430 : 1, 2, 5, 10, 43, 86, 215, 430

309 : 1, 3, 103, 309

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 360,779,429,430,309, is 1.

Now, the common factors can be found like this.

360:2x 2x 2x 3x 3x 5

779:19x 41

429:3x 11x 13

430:2x 5x 43

309:3x 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 3x 3x 5 = 90

Therefore, the value for common factors is 90.

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 = 15985424941200/(1x90)

LCM = 15985424941200/90

LCM = 177615832680

Thus, we can understand that the LCM of 360,779,429,430,309 is 177615832680.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 470, 961, 339, 434, 207
• LCM of 588, 391, 400, 542, 659
• LCM of 560, 656, 170, 573, 294
• LCM of 701, 882, 967, 947, 803
• LCM of 801, 386, 603, 689, 817

1. What is the LCM of 360, 779, 429, 430, 309?

Answer: LCM of 360, 779, 429, 430, 309 is 177615832680.

2. How to calculate the LCM of 360, 779, 429, 430, 309?

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 360, 779, 429, 430, 309.

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}.