Given numbers are 803,173,630,714,624

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

The LCM of 803,173,630,714,624 is 154733538960.

Find LCM of 803,173,630,714,624 with Prime Factorization

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

2 x 3 x 7 x 803 x 173 x 15 x 17 x 104 = 154733538960

Therefore, the lowest common multiple of 803,173,630,714,624 is 154733538960.

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.

803 x 173 x 630 x 714 x 624 = 38992851817920

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.

803 : 1, 11, 73, 803

173 : 1, 173

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,173,630,714,624, is 1.

Now, the common factors can be found like this.

803:11x 73

173:173

630:2x 3x 3x 5x 7

714:2x 3x 7x 17

624:2x 2x 2x 2x 3x 13

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 3x 7 = 252

Therefore, the value for common factors is 252.

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 = 38992851817920/(1x252)

LCM = 38992851817920/252

LCM = 154733538960

Thus, we can understand that the LCM of 803,173,630,714,624 is 154733538960.

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

• LCM of 926, 272, 879, 128, 580
• LCM of 723, 301, 956, 315, 560
• LCM of 431, 268, 806, 571, 291
• LCM of 830, 569, 103, 627, 485
• LCM of 123, 971, 763, 831, 718

1. What is the LCM of 803, 173, 630, 714, 624?

Answer: LCM of 803, 173, 630, 714, 624 is 154733538960.

2. How to calculate the LCM of 803, 173, 630, 714, 624?

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 803, 173, 630, 714, 624.

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}.