Given numbers are 561,875,458,740,270

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

The LCM of 561,875,458,740,270 is 149730619500.

Find LCM of 561,875,458,740,270 with Prime Factorization

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

2 x 3 x 5 x 187 x 175 x 229 x 74 x 9 = 149730619500

Therefore, the lowest common multiple of 561,875,458,740,270 is 149730619500.

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.

561 x 875 x 458 x 740 x 270 = 44919185850000

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.

561 : 1, 3, 11, 17, 33, 51, 187, 561

875 : 1, 5, 7, 25, 35, 125, 175, 875

458 : 1, 2, 229, 458

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,875,458,740,270, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

875:5x 5x 5x 7

458:2x 229

740:2x 2x 5x 37

270:2x 3x 3x 3x 5

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

2x 2x 3x 5x 5 = 300

Therefore, the value for common factors is 300.

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 = 44919185850000/(1x300)

LCM = 44919185850000/300

LCM = 149730619500

Thus, we can understand that the LCM of 561,875,458,740,270 is 149730619500.

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

• LCM of 648, 928, 471, 555, 107
• LCM of 571, 194, 801, 210, 679
• LCM of 519, 463, 594, 619, 839
• LCM of 179, 470, 606, 909, 259
• LCM of 158, 398, 997, 429, 726

1. What is the LCM of 561, 875, 458, 740, 270?

Answer: LCM of 561, 875, 458, 740, 270 is 149730619500.

2. How to calculate the LCM of 561, 875, 458, 740, 270?

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 561, 875, 458, 740, 270.

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}.