Given numbers are 270,682,409,683,577

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

The LCM of 270,682,409,683,577 is 14840138973330.

Find LCM of 270,682,409,683,577 with Prime Factorization

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

2 x 135 x 341 x 409 x 683 x 577 = 14840138973330

Therefore, the lowest common multiple of 270,682,409,683,577 is 14840138973330.

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.

270 x 682 x 409 x 683 x 577 = 29680277946660

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.

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

682 : 1, 2, 11, 22, 31, 62, 341, 682

409 : 1, 409

683 : 1, 683

577 : 1, 577

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 270,682,409,683,577, is 1.

Now, the common factors can be found like this.

270:2x 3x 3x 3x 5

682:2x 11x 31

409:409

683:683

577:577

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

2 = 2

Therefore, the value for common factors is 2.

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 = 29680277946660/(1x2)

LCM = 29680277946660/2

LCM = 14840138973330

Thus, we can understand that the LCM of 270,682,409,683,577 is 14840138973330.

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

• LCM of 284, 762, 432, 778, 520
• LCM of 858, 111, 928, 816, 429
• LCM of 522, 937, 802, 692, 537
• LCM of 904, 581, 178, 732, 165
• LCM of 131, 210, 853, 974, 824

1. What is the LCM of 270, 682, 409, 683, 577?

Answer: LCM of 270, 682, 409, 683, 577 is 14840138973330.

2. How to calculate the LCM of 270, 682, 409, 683, 577?

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 270, 682, 409, 683, 577.

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}.