Given numbers are 467,920,462,190,575

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

The LCM of 467,920,462,190,575 is 9428449800.

Find LCM of 467,920,462,190,575 with Prime Factorization

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

2 x 5 x 23 x 467 x 4 x 231 x 19 x 5 = 9428449800

Therefore, the lowest common multiple of 467,920,462,190,575 is 9428449800.

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.

467 x 920 x 462 x 190 x 575 = 21685434540000

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.

467 : 1, 467

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

190 : 1, 2, 5, 10, 19, 38, 95, 190

575 : 1, 5, 23, 25, 115, 575

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,920,462,190,575, is 1.

Now, the common factors can be found like this.

467:467

920:2x 2x 2x 5x 23

462:2x 3x 7x 11

190:2x 5x 19

575:5x 5x 23

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 5x 5x 23 = 2300

Therefore, the value for common factors is 2300.

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 = 21685434540000/(1x2300)

LCM = 21685434540000/2300

LCM = 9428449800

Thus, we can understand that the LCM of 467,920,462,190,575 is 9428449800.

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

• LCM of 617, 609, 830, 908, 791
• LCM of 321, 747, 135, 692, 859
• LCM of 767, 929, 680, 273, 600
• LCM of 564, 508, 382, 949, 198
• LCM of 850, 338, 998, 561, 110

1. What is the LCM of 467, 920, 462, 190, 575?

Answer: LCM of 467, 920, 462, 190, 575 is 9428449800.

2. How to calculate the LCM of 467, 920, 462, 190, 575?

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 467, 920, 462, 190, 575.

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}.