Given numbers are 728,746,630,973

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

The LCM of 728,746,630,973 is 1698507720.

Find LCM of 728,746,630,973 with Prime Factorization

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

2 x 7 x 52 x 373 x 45 x 139 = 1698507720

Therefore, the lowest common multiple of 728,746,630,973 is 1698507720.

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.

728 x 746 x 630 x 973 = 332907513120

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.

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

746 : 1, 2, 373, 746

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

973 : 1, 7, 139, 973

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,746,630,973, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

746:2x 373

630:2x 3x 3x 5x 7

973:7x 139

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 7x 7 = 196

Therefore, the value for common factors is 196.

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 = 332907513120/(1x196)

LCM = 332907513120/196

LCM = 1698507720

Thus, we can understand that the LCM of 728,746,630,973 is 1698507720.

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

• LCM of 179, 139, 919, 267
• LCM of 423, 327, 490, 587
• LCM of 826, 790, 347, 558
• LCM of 689, 996, 371, 383
• LCM of 680, 114, 487, 361

1. What is the LCM of 728, 746, 630, 973?

Answer: LCM of 728, 746, 630, 973 is 1698507720.

2. How to calculate the LCM of 728, 746, 630, 973?

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 728, 746, 630, 973.

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}.