Given numbers are 660,364,299,312,748

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

The LCM of 660,364,299,312,748 is 46966920.

Find LCM of 660,364,299,312,748 with Prime Factorization

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

2 x 2 x 3 x 11 x 13 x 5 x 7 x 23 x 2 x 17 = 46966920

Therefore, the lowest common multiple of 660,364,299,312,748 is 46966920.

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.

660 x 364 x 299 x 312 x 748 = 16763808821760

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.

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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

299 : 1, 13, 23, 299

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 660,364,299,312,748, is 1.

Now, the common factors can be found like this.

660:2x 2x 3x 5x 11

364:2x 2x 7x 13

299:13x 23

312:2x 2x 2x 3x 13

748:2x 2x 11x 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 2x 3x 11x 13x 13 = 356928

Therefore, the value for common factors is 356928.

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 = 16763808821760/(1x356928)

LCM = 16763808821760/356928

LCM = 46966920

Thus, we can understand that the LCM of 660,364,299,312,748 is 46966920.

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

• LCM of 234, 785, 717, 977, 302
• LCM of 871, 650, 852, 424, 225
• LCM of 913, 613, 751, 935, 774
• LCM of 923, 500, 918, 569, 671
• LCM of 447, 792, 735, 837, 310

1. What is the LCM of 660, 364, 299, 312, 748?

Answer: LCM of 660, 364, 299, 312, 748 is 46966920.

2. How to calculate the LCM of 660, 364, 299, 312, 748?

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 660, 364, 299, 312, 748.

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}.