Given numbers are 369,290,214,745

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

The LCM of 369,290,214,745 is 1706060430.

Find LCM of 369,290,214,745 with Prime Factorization

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

2 x 5 x 369 x 29 x 107 x 149 = 1706060430

Therefore, the lowest common multiple of 369,290,214,745 is 1706060430.

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.

369 x 290 x 214 x 745 = 17060604300

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.

369 : 1, 3, 9, 41, 123, 369

290 : 1, 2, 5, 10, 29, 58, 145, 290

214 : 1, 2, 107, 214

745 : 1, 5, 149, 745

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,290,214,745, is 1.

Now, the common factors can be found like this.

369:3x 3x 41

290:2x 5x 29

214:2x 107

745:5x 149

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 17060604300/(1x10)

LCM = 17060604300/10

LCM = 1706060430

Thus, we can understand that the LCM of 369,290,214,745 is 1706060430.

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

• LCM of 454, 933, 711, 184
• LCM of 210, 651, 873, 300
• LCM of 296, 122, 359, 149
• LCM of 320, 282, 520, 154
• LCM of 433, 820, 221, 847

1. What is the LCM of 369, 290, 214, 745?

Answer: LCM of 369, 290, 214, 745 is 1706060430.

2. How to calculate the LCM of 369, 290, 214, 745?

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 369, 290, 214, 745.

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}.