Given numbers are 672,460,438,138,515

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

The LCM of 672,460,438,138,515 is 581068320.

Find LCM of 672,460,438,138,515 with Prime Factorization

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

2 x 2 x 3 x 5 x 23 x 56 x 1 x 73 x 1 x 103 = 581068320

Therefore, the lowest common multiple of 672,460,438,138,515 is 581068320.

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.

672 x 460 x 438 x 138 x 515 = 9622491379200

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.

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

438 : 1, 2, 3, 6, 73, 146, 219, 438

138 : 1, 2, 3, 6, 23, 46, 69, 138

515 : 1, 5, 103, 515

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 672,460,438,138,515, is 1.

Now, the common factors can be found like this.

672:2x 2x 2x 2x 2x 3x 7

460:2x 2x 5x 23

438:2x 3x 73

138:2x 3x 23

515:5x 103

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 2x 2x 3x 3x 5x 23 = 16560

Therefore, the value for common factors is 16560.

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 = 9622491379200/(1x16560)

LCM = 9622491379200/16560

LCM = 581068320

Thus, we can understand that the LCM of 672,460,438,138,515 is 581068320.

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

• LCM of 839, 780, 592, 958, 185
• LCM of 876, 490, 818, 161, 828
• LCM of 529, 531, 333, 569, 646
• LCM of 135, 390, 189, 276, 462
• LCM of 561, 393, 912, 585, 888

1. What is the LCM of 672, 460, 438, 138, 515?

Answer: LCM of 672, 460, 438, 138, 515 is 581068320.

2. How to calculate the LCM of 672, 460, 438, 138, 515?

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 672, 460, 438, 138, 515.

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}.