Given numbers are 708,720,874,910,915

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

The LCM of 708,720,874,910,915 is 103047431760.

Find LCM of 708,720,874,910,915 with Prime Factorization

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

2 x 2 x 3 x 5 x 59 x 12 x 437 x 91 x 61 = 103047431760

Therefore, the lowest common multiple of 708,720,874,910,915 is 103047431760.

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.

708 x 720 x 874 x 910 x 915 = 370970754336000

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.

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

874 : 1, 2, 19, 23, 38, 46, 437, 874

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

915 : 1, 3, 5, 15, 61, 183, 305, 915

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,720,874,910,915, is 1.

Now, the common factors can be found like this.

708:2x 2x 3x 59

720:2x 2x 2x 2x 3x 3x 5

874:2x 19x 23

910:2x 5x 7x 13

915:3x 5x 61

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 5x 5 = 3600

Therefore, the value for common factors is 3600.

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 = 370970754336000/(1x3600)

LCM = 370970754336000/3600

LCM = 103047431760

Thus, we can understand that the LCM of 708,720,874,910,915 is 103047431760.

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

• LCM of 746, 910, 503, 927, 561
• LCM of 974, 214, 703, 596, 952
• LCM of 208, 653, 570, 279, 256
• LCM of 751, 368, 771, 349, 128
• LCM of 372, 912, 826, 599, 260

1. What is the LCM of 708, 720, 874, 910, 915?

Answer: LCM of 708, 720, 874, 910, 915 is 103047431760.

2. How to calculate the LCM of 708, 720, 874, 910, 915?

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 708, 720, 874, 910, 915.

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}.