Given numbers are 648,178,358,714

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

The LCM of 648,178,358,714 is 1228471272.

Find LCM of 648,178,358,714 with Prime Factorization

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

2 x 3 x 108 x 89 x 179 x 119 = 1228471272

Therefore, the lowest common multiple of 648,178,358,714 is 1228471272.

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.

648 x 178 x 358 x 714 = 29483310528

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.

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

178 : 1, 2, 89, 178

358 : 1, 2, 179, 358

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 648,178,358,714, is 2.

Now, the common factors can be found like this.

648:2x 2x 2x 3x 3x 3x 3

178:2x 89

358:2x 179

714:2x 3x 7x 17

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 3 = 12

Therefore, the value for common factors is 12.

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 = 29483310528/(2x12)

LCM = 29483310528/24

LCM = 1228471272

Thus, we can understand that the LCM of 648,178,358,714 is 1228471272.

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

• LCM of 588, 745, 561, 173
• LCM of 316, 850, 151, 224
• LCM of 753, 441, 395, 143
• LCM of 515, 133, 233, 921
• LCM of 524, 341, 684, 151

1. What is the LCM of 648, 178, 358, 714?

Answer: LCM of 648, 178, 358, 714 is 1228471272.

2. How to calculate the LCM of 648, 178, 358, 714?

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 648, 178, 358, 714.

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}.