Given numbers are 676,749,780,728

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

The LCM of 676,749,780,728 is 15189720.

Find LCM of 676,749,780,728 with Prime Factorization

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

2 x 2 x 7 x 13 x 13 x 107 x 15 x 2 = 15189720

Therefore, the lowest common multiple of 676,749,780,728 is 15189720.

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.

676 x 749 x 780 x 728 = 287511020160

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

749 : 1, 7, 107, 749

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,749,780,728, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

749:7x 107

780:2x 2x 3x 5x 13

728:2x 2x 2x 7x 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 2x 2x 7x 13x 13 = 18928

Therefore, the value for common factors is 18928.

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 = 287511020160/(1x18928)

LCM = 287511020160/18928

LCM = 15189720

Thus, we can understand that the LCM of 676,749,780,728 is 15189720.

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

• LCM of 608, 440, 329, 206
• LCM of 169, 515, 724, 386
• LCM of 153, 310, 854, 911
• LCM of 478, 579, 549, 248
• LCM of 244, 243, 979, 601

1. What is the LCM of 676, 749, 780, 728?

Answer: LCM of 676, 749, 780, 728 is 15189720.

2. How to calculate the LCM of 676, 749, 780, 728?

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 676, 749, 780, 728.

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}.