Given numbers are 146,214,782,392

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

The LCM of 146,214,782,392 is 1197207592.

Find LCM of 146,214,782,392 with Prime Factorization

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

2 x 73 x 107 x 391 x 196 = 1197207592

Therefore, the lowest common multiple of 146,214,782,392 is 1197207592.

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.

146 x 214 x 782 x 392 = 9577660736

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.

146 : 1, 2, 73, 146

214 : 1, 2, 107, 214

782 : 1, 2, 17, 23, 34, 46, 391, 782

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,214,782,392, is 2.

Now, the common factors can be found like this.

146:2x 73

214:2x 107

782:2x 17x 23

392:2x 2x 2x 7x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 9577660736/(2x4)

LCM = 9577660736/8

LCM = 1197207592

Thus, we can understand that the LCM of 146,214,782,392 is 1197207592.

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

• LCM of 112, 518, 376, 410
• LCM of 772, 928, 623, 889
• LCM of 483, 704, 597, 578
• LCM of 143, 292, 145, 870
• LCM of 620, 485, 986, 348

1. What is the LCM of 146, 214, 782, 392?

Answer: LCM of 146, 214, 782, 392 is 1197207592.

2. How to calculate the LCM of 146, 214, 782, 392?

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 146, 214, 782, 392.

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}.