Given numbers are 739,728,148,792,944

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

The LCM of 739,728,148,792,944 is 232538434128.

Find LCM of 739,728,148,792,944 with Prime Factorization

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

2 x 2 x 2 x 739 x 91 x 37 x 99 x 118 = 232538434128

Therefore, the lowest common multiple of 739,728,148,792,944 is 232538434128.

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.

739 x 728 x 148 x 792 x 944 = 59529839136768

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.

739 : 1, 739

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

148 : 1, 2, 4, 37, 74, 148

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

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 739,728,148,792,944, is 1.

Now, the common factors can be found like this.

739:739

728:2x 2x 2x 7x 13

148:2x 2x 37

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

944:2x 2x 2x 2x 59

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 2x 2x 2 = 256

Therefore, the value for common factors is 256.

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 = 59529839136768/(1x256)

LCM = 59529839136768/256

LCM = 232538434128

Thus, we can understand that the LCM of 739,728,148,792,944 is 232538434128.

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

• LCM of 311, 933, 948, 964, 806
• LCM of 658, 487, 493, 899, 365
• LCM of 234, 822, 964, 425, 275
• LCM of 927, 755, 938, 752, 185
• LCM of 346, 887, 943, 196, 665

1. What is the LCM of 739, 728, 148, 792, 944?

Answer: LCM of 739, 728, 148, 792, 944 is 232538434128.

2. How to calculate the LCM of 739, 728, 148, 792, 944?

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 739, 728, 148, 792, 944.

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}.