Given numbers are 728,904,880,153

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

The LCM of 728,904,880,153 is 1384503120.

Find LCM of 728,904,880,153 with Prime Factorization

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

2 x 2 x 2 x 91 x 113 x 110 x 153 = 1384503120

Therefore, the lowest common multiple of 728,904,880,153 is 1384503120.

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 904 x 880 x 153 = 88608199680

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

904 : 1, 2, 4, 8, 113, 226, 452, 904

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

153 : 1, 3, 9, 17, 51, 153

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,904,880,153, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

904:2x 2x 2x 113

880:2x 2x 2x 2x 5x 11

153:3x 3x 17

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 2 = 64

Therefore, the value for common factors is 64.

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 = 88608199680/(1x64)

LCM = 88608199680/64

LCM = 1384503120

Thus, we can understand that the LCM of 728,904,880,153 is 1384503120.

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

• LCM of 153, 834, 876, 716
• LCM of 189, 784, 183, 476
• LCM of 245, 354, 280, 852
• LCM of 887, 651, 408, 355
• LCM of 618, 478, 756, 430

1. What is the LCM of 728, 904, 880, 153?

Answer: LCM of 728, 904, 880, 153 is 1384503120.

2. How to calculate the LCM of 728, 904, 880, 153?

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, 904, 880, 153.

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}.