Given numbers are 630,258,278,377,362

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

The LCM of 630,258,278,377,362 is 256947105870.

Find LCM of 630,258,278,377,362 with Prime Factorization

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

2 x 3 x 105 x 43 x 139 x 377 x 181 = 256947105870

Therefore, the lowest common multiple of 630,258,278,377,362 is 256947105870.

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.

630 x 258 x 278 x 377 x 362 = 6166730540880

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.

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

258 : 1, 2, 3, 6, 43, 86, 129, 258

278 : 1, 2, 139, 278

377 : 1, 13, 29, 377

362 : 1, 2, 181, 362

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,258,278,377,362, is 1.

Now, the common factors can be found like this.

630:2x 3x 3x 5x 7

258:2x 3x 43

278:2x 139

377:13x 29

362:2x 181

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 3 = 24

Therefore, the value for common factors is 24.

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 = 6166730540880/(1x24)

LCM = 6166730540880/24

LCM = 256947105870

Thus, we can understand that the LCM of 630,258,278,377,362 is 256947105870.

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

• LCM of 477, 795, 782, 141, 742
• LCM of 853, 946, 361, 771, 653
• LCM of 432, 220, 266, 945, 270
• LCM of 328, 616, 250, 334, 929
• LCM of 819, 472, 156, 964, 254

1. What is the LCM of 630, 258, 278, 377, 362?

Answer: LCM of 630, 258, 278, 377, 362 is 256947105870.

2. How to calculate the LCM of 630, 258, 278, 377, 362?

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 630, 258, 278, 377, 362.

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}.