Given numbers are 453,698,642,840,708

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

The LCM of 453,698,642,840,708 is 279458581080.

Find LCM of 453,698,642,840,708 with Prime Factorization

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

2 x 2 x 3 x 151 x 349 x 107 x 70 x 59 = 279458581080

Therefore, the lowest common multiple of 453,698,642,840,708 is 279458581080.

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.

453 x 698 x 642 x 840 x 708 = 120726107026560

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.

453 : 1, 3, 151, 453

698 : 1, 2, 349, 698

642 : 1, 2, 3, 6, 107, 214, 321, 642

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 453,698,642,840,708, is 1.

Now, the common factors can be found like this.

453:3x 151

698:2x 349

642:2x 3x 107

840:2x 2x 2x 3x 5x 7

708:2x 2x 3x 59

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 3 = 432

Therefore, the value for common factors is 432.

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 = 120726107026560/(1x432)

LCM = 120726107026560/432

LCM = 279458581080

Thus, we can understand that the LCM of 453,698,642,840,708 is 279458581080.

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

• LCM of 940, 756, 813, 223, 201
• LCM of 489, 461, 503, 883, 905
• LCM of 263, 233, 159, 628, 241
• LCM of 286, 166, 931, 875, 982
• LCM of 166, 505, 559, 103, 523

1. What is the LCM of 453, 698, 642, 840, 708?

Answer: LCM of 453, 698, 642, 840, 708 is 279458581080.

2. How to calculate the LCM of 453, 698, 642, 840, 708?

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 453, 698, 642, 840, 708.

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}.