Given numbers are 854,214,104,346

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

The LCM of 854,214,104,346 is 822036488.

Find LCM of 854,214,104,346 with Prime Factorization

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

2 x 427 x 107 x 52 x 173 = 822036488

Therefore, the lowest common multiple of 854,214,104,346 is 822036488.

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.

854 x 214 x 104 x 346 = 6576291904

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.

854 : 1, 2, 7, 14, 61, 122, 427, 854

214 : 1, 2, 107, 214

104 : 1, 2, 4, 8, 13, 26, 52, 104

346 : 1, 2, 173, 346

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 854,214,104,346, is 2.

Now, the common factors can be found like this.

854:2x 7x 61

214:2x 107

104:2x 2x 2x 13

346:2x 173

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 = 6576291904/(2x4)

LCM = 6576291904/8

LCM = 822036488

Thus, we can understand that the LCM of 854,214,104,346 is 822036488.

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

• LCM of 715, 151, 978, 748
• LCM of 147, 602, 744, 950
• LCM of 764, 238, 233, 906
• LCM of 144, 562, 294, 512
• LCM of 819, 246, 830, 606

1. What is the LCM of 854, 214, 104, 346?

Answer: LCM of 854, 214, 104, 346 is 822036488.

2. How to calculate the LCM of 854, 214, 104, 346?

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 854, 214, 104, 346.

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}.