Given numbers are 189,506,314,410

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

The LCM of 189,506,314,410 is 3077980290.

Find LCM of 189,506,314,410 with Prime Factorization

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

2 x 189 x 253 x 157 x 205 = 3077980290

Therefore, the lowest common multiple of 189,506,314,410 is 3077980290.

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.

189 x 506 x 314 x 410 = 12311921160

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.

189 : 1, 3, 7, 9, 21, 27, 63, 189

506 : 1, 2, 11, 22, 23, 46, 253, 506

314 : 1, 2, 157, 314

410 : 1, 2, 5, 10, 41, 82, 205, 410

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,506,314,410, is 1.

Now, the common factors can be found like this.

189:3x 3x 3x 7

506:2x 11x 23

314:2x 157

410:2x 5x 41

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 = 12311921160/(1x4)

LCM = 12311921160/4

LCM = 3077980290

Thus, we can understand that the LCM of 189,506,314,410 is 3077980290.

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

• LCM of 966, 598, 676, 818
• LCM of 931, 843, 259, 401
• LCM of 859, 747, 348, 234
• LCM of 326, 552, 522, 710
• LCM of 846, 585, 725, 634

1. What is the LCM of 189, 506, 314, 410?

Answer: LCM of 189, 506, 314, 410 is 3077980290.

2. How to calculate the LCM of 189, 506, 314, 410?

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 189, 506, 314, 410.

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}.