Given numbers are 728,650,308,638

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

The LCM of 728,650,308,638 is 5805800.

Find LCM of 728,650,308,638 with Prime Factorization

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

2 x 2 x 7 x 11 x 13 x 2 x 25 x 1 x 29 = 5805800

Therefore, the lowest common multiple of 728,650,308,638 is 5805800.

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 650 x 308 x 638 = 92985692800

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

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

638 : 1, 2, 11, 22, 29, 58, 319, 638

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,650,308,638, is 2.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

650:2x 5x 5x 13

308:2x 2x 7x 11

638:2x 11x 29

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 7x 11x 13 = 8008

Therefore, the value for common factors is 8008.

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 = 92985692800/(2x8008)

LCM = 92985692800/16016

LCM = 5805800

Thus, we can understand that the LCM of 728,650,308,638 is 5805800.

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

• LCM of 253, 545, 504, 419
• LCM of 156, 492, 521, 692
• LCM of 726, 562, 624, 264
• LCM of 169, 692, 211, 139
• LCM of 941, 630, 962, 708

1. What is the LCM of 728, 650, 308, 638?

Answer: LCM of 728, 650, 308, 638 is 5805800.

2. How to calculate the LCM of 728, 650, 308, 638?

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, 650, 308, 638.

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}.