Given numbers are 364,260,480,867,737

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

The LCM of 364,260,480,867,737 is 9303534240.

Find LCM of 364,260,480,867,737 with Prime Factorization

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

2 x 2 x 3 x 5 x 13 x 7 x 1 x 8 x 289 x 737 = 9303534240

Therefore, the lowest common multiple of 364,260,480,867,737 is 9303534240.

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.

364 x 260 x 480 x 867 x 737 = 29027026828800

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

867 : 1, 3, 17, 51, 289, 867

737 : 1, 11, 67, 737

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,260,480,867,737, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

260:2x 2x 5x 13

480:2x 2x 2x 2x 2x 3x 5

867:3x 17x 17

737:11x 67

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 5x 13 = 3120

Therefore, the value for common factors is 3120.

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 = 29027026828800/(1x3120)

LCM = 29027026828800/3120

LCM = 9303534240

Thus, we can understand that the LCM of 364,260,480,867,737 is 9303534240.

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

• LCM of 222, 355, 468, 144, 609
• LCM of 238, 528, 598, 553, 158
• LCM of 958, 391, 907, 372, 892
• LCM of 903, 493, 798, 492, 251
• LCM of 111, 453, 513, 674, 362

1. What is the LCM of 364, 260, 480, 867, 737?

Answer: LCM of 364, 260, 480, 867, 737 is 9303534240.

2. How to calculate the LCM of 364, 260, 480, 867, 737?

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 364, 260, 480, 867, 737.

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}.