Given numbers are 480,349,315,872,776

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

The LCM of 480,349,315,872,776 is 37194968160.

Find LCM of 480,349,315,872,776 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 4 x 349 x 21 x 109 x 97 = 37194968160

Therefore, the lowest common multiple of 480,349,315,872,776 is 37194968160.

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.

480 x 349 x 315 x 872 x 776 = 35707169433600

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.

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

349 : 1, 349

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

872 : 1, 2, 4, 8, 109, 218, 436, 872

776 : 1, 2, 4, 8, 97, 194, 388, 776

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,349,315,872,776, is 1.

Now, the common factors can be found like this.

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

349:349

315:3x 3x 5x 7

872:2x 2x 2x 109

776:2x 2x 2x 97

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 5 = 960

Therefore, the value for common factors is 960.

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 = 35707169433600/(1x960)

LCM = 35707169433600/960

LCM = 37194968160

Thus, we can understand that the LCM of 480,349,315,872,776 is 37194968160.

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

• LCM of 843, 919, 791, 969, 239
• LCM of 452, 929, 796, 856, 162
• LCM of 978, 407, 288, 554, 424
• LCM of 743, 380, 821, 627, 117
• LCM of 632, 847, 298, 966, 244

1. What is the LCM of 480, 349, 315, 872, 776?

Answer: LCM of 480, 349, 315, 872, 776 is 37194968160.

2. How to calculate the LCM of 480, 349, 315, 872, 776?

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 480, 349, 315, 872, 776.

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}.