Given numbers are 738,528,149,909,792

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

The LCM of 738,528,149,909,792 is 977342256.

Find LCM of 738,528,149,909,792 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 11 x 41 x 2 x 149 x 101 x 1 = 977342256

Therefore, the lowest common multiple of 738,528,149,909,792 is 977342256.

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.

738 x 528 x 149 x 909 x 792 = 41798973604608

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.

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

149 : 1, 149

909 : 1, 3, 9, 101, 303, 909

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,528,149,909,792, is 1.

Now, the common factors can be found like this.

738:2x 3x 3x 41

528:2x 2x 2x 2x 3x 11

149:149

909:3x 3x 101

792:2x 2x 2x 3x 3x 11

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 3x 3x 3x 3x 3x 11 = 42768

Therefore, the value for common factors is 42768.

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 = 41798973604608/(1x42768)

LCM = 41798973604608/42768

LCM = 977342256

Thus, we can understand that the LCM of 738,528,149,909,792 is 977342256.

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

• LCM of 869, 164, 176, 193, 811
• LCM of 462, 681, 804, 355, 551
• LCM of 691, 925, 855, 812, 163
• LCM of 308, 650, 738, 265, 611
• LCM of 123, 803, 585, 639, 891

1. What is the LCM of 738, 528, 149, 909, 792?

Answer: LCM of 738, 528, 149, 909, 792 is 977342256.

2. How to calculate the LCM of 738, 528, 149, 909, 792?

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 738, 528, 149, 909, 792.

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}.