Given numbers are 728,463,749,147

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

The LCM of 728,463,749,147 is 757382808.

Find LCM of 728,463,749,147 with Prime Factorization

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

7 x 104 x 463 x 107 x 21 = 757382808

Therefore, the lowest common multiple of 728,463,749,147 is 757382808.

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 463 x 749 x 147 = 37111757592

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

463 : 1, 463

749 : 1, 7, 107, 749

147 : 1, 3, 7, 21, 49, 147

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,463,749,147, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

463:463

749:7x 107

147:3x 7x 7

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

7x 7 = 49

Therefore, the value for common factors is 49.

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 = 37111757592/(1x49)

LCM = 37111757592/49

LCM = 757382808

Thus, we can understand that the LCM of 728,463,749,147 is 757382808.

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

• LCM of 241, 697, 306, 229
• LCM of 490, 933, 478, 791
• LCM of 362, 945, 795, 544
• LCM of 340, 429, 783, 678
• LCM of 386, 311, 936, 379

1. What is the LCM of 728, 463, 749, 147?

Answer: LCM of 728, 463, 749, 147 is 757382808.

2. How to calculate the LCM of 728, 463, 749, 147?

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, 463, 749, 147.

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}.