Given numbers are 360,461,406,688

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

The LCM of 360,461,406,688 is 2897329680.

Find LCM of 360,461,406,688 with Prime Factorization

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

2 x 2 x 2 x 45 x 461 x 203 x 86 = 2897329680

Therefore, the lowest common multiple of 360,461,406,688 is 2897329680.

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.

360 x 461 x 406 x 688 = 46357274880

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.

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

461 : 1, 461

406 : 1, 2, 7, 14, 29, 58, 203, 406

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 360,461,406,688, is 1.

Now, the common factors can be found like this.

360:2x 2x 2x 3x 3x 5

461:461

406:2x 7x 29

688:2x 2x 2x 2x 43

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 2 = 16

Therefore, the value for common factors is 16.

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 = 46357274880/(1x16)

LCM = 46357274880/16

LCM = 2897329680

Thus, we can understand that the LCM of 360,461,406,688 is 2897329680.

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

• LCM of 667, 386, 250, 574
• LCM of 922, 965, 943, 476
• LCM of 700, 621, 516, 269
• LCM of 746, 536, 775, 229
• LCM of 576, 918, 588, 962

1. What is the LCM of 360, 461, 406, 688?

Answer: LCM of 360, 461, 406, 688 is 2897329680.

2. How to calculate the LCM of 360, 461, 406, 688?

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 360, 461, 406, 688.

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}.