Given numbers are 736,249,920,828

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

The LCM of 736,249,920,828 is 2748960.

Find LCM of 736,249,920,828 with Prime Factorization

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

2 x 2 x 2 x 3 x 23 x 4 x 83 x 5 x 3 = 2748960

Therefore, the lowest common multiple of 736,249,920,828 is 2748960.

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.

736 x 249 x 920 x 828 = 139603184640

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.

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

249 : 1, 3, 83, 249

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,249,920,828, is 1.

Now, the common factors can be found like this.

736:2x 2x 2x 2x 2x 23

249:3x 83

920:2x 2x 2x 5x 23

828:2x 2x 3x 3x 23

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 2x 3x 23x 23 = 50784

Therefore, the value for common factors is 50784.

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 = 139603184640/(1x50784)

LCM = 139603184640/50784

LCM = 2748960

Thus, we can understand that the LCM of 736,249,920,828 is 2748960.

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

• LCM of 985, 512, 868, 740
• LCM of 204, 568, 670, 274
• LCM of 173, 613, 130, 462
• LCM of 231, 964, 497, 546
• LCM of 747, 326, 590, 375

1. What is the LCM of 736, 249, 920, 828?

Answer: LCM of 736, 249, 920, 828 is 2748960.

2. How to calculate the LCM of 736, 249, 920, 828?

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 736, 249, 920, 828.

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}.