Given numbers are 997,676,350,540,428

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

The LCM of 997,676,350,540,428 is 340743393900.

Find LCM of 997,676,350,540,428 with Prime Factorization

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

2 x 2 x 5 x 997 x 169 x 35 x 27 x 107 = 340743393900

Therefore, the lowest common multiple of 997,676,350,540,428 is 340743393900.

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.

997 x 676 x 350 x 540 x 428 = 54518943024000

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.

997 : 1, 997

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

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 997,676,350,540,428, is 1.

Now, the common factors can be found like this.

997:997

676:2x 2x 13x 13

350:2x 5x 5x 7

540:2x 2x 3x 3x 3x 5

428:2x 2x 107

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 5 = 160

Therefore, the value for common factors is 160.

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 = 54518943024000/(1x160)

LCM = 54518943024000/160

LCM = 340743393900

Thus, we can understand that the LCM of 997,676,350,540,428 is 340743393900.

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

• LCM of 680, 944, 114, 823, 178
• LCM of 254, 895, 774, 314, 655
• LCM of 310, 454, 819, 249, 473
• LCM of 401, 914, 712, 586, 855
• LCM of 474, 180, 713, 478, 208

1. What is the LCM of 997, 676, 350, 540, 428?

Answer: LCM of 997, 676, 350, 540, 428 is 340743393900.

2. How to calculate the LCM of 997, 676, 350, 540, 428?

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 997, 676, 350, 540, 428.

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}.