Given numbers are 144,366,377,357,858

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

The LCM of 144,366,377,357,858 is 4334842512.

Find LCM of 144,366,377,357,858 with Prime Factorization

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

2 x 3 x 13 x 24 x 61 x 29 x 119 x 11 = 4334842512

Therefore, the lowest common multiple of 144,366,377,357,858 is 4334842512.

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.

144 x 366 x 377 x 357 x 858 = 6086118886848

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.

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

366 : 1, 2, 3, 6, 61, 122, 183, 366

377 : 1, 13, 29, 377

357 : 1, 3, 7, 17, 21, 51, 119, 357

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,366,377,357,858, is 1.

Now, the common factors can be found like this.

144:2x 2x 2x 2x 3x 3

366:2x 3x 61

377:13x 29

357:3x 7x 17

858:2x 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 3x 3x 3x 13 = 1404

Therefore, the value for common factors is 1404.

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 = 6086118886848/(1x1404)

LCM = 6086118886848/1404

LCM = 4334842512

Thus, we can understand that the LCM of 144,366,377,357,858 is 4334842512.

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

• LCM of 289, 504, 402, 813, 142
• LCM of 356, 153, 554, 542, 554
• LCM of 416, 674, 975, 771, 333
• LCM of 200, 105, 389, 236, 756
• LCM of 202, 362, 853, 936, 363

1. What is the LCM of 144, 366, 377, 357, 858?

Answer: LCM of 144, 366, 377, 357, 858 is 4334842512.

2. How to calculate the LCM of 144, 366, 377, 357, 858?

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 144, 366, 377, 357, 858.

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}.