Given numbers are 478,506,636,680,676

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

The LCM of 478,506,636,680,676 is 1104869954760.

Find LCM of 478,506,636,680,676 with Prime Factorization

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

2 x 2 x 239 x 253 x 159 x 170 x 169 = 1104869954760

Therefore, the lowest common multiple of 478,506,636,680,676 is 1104869954760.

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.

478 x 506 x 636 x 680 x 676 = 70711677104640

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.

478 : 1, 2, 239, 478

506 : 1, 2, 11, 22, 23, 46, 253, 506

636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,506,636,680,676, is 2.

Now, the common factors can be found like this.

478:2x 239

506:2x 11x 23

636:2x 2x 3x 53

680:2x 2x 2x 5x 17

676:2x 2x 13x 13

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 2 = 32

Therefore, the value for common factors is 32.

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 = 70711677104640/(2x32)

LCM = 70711677104640/64

LCM = 1104869954760

Thus, we can understand that the LCM of 478,506,636,680,676 is 1104869954760.

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

• LCM of 668, 211, 428, 564, 734
• LCM of 590, 827, 504, 174, 147
• LCM of 127, 418, 447, 994, 189
• LCM of 518, 528, 517, 199, 743
• LCM of 886, 492, 166, 863, 610

1. What is the LCM of 478, 506, 636, 680, 676?

Answer: LCM of 478, 506, 636, 680, 676 is 1104869954760.

2. How to calculate the LCM of 478, 506, 636, 680, 676?

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 478, 506, 636, 680, 676.

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}.