Given numbers are 676,506,497,698

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

The LCM of 676,506,497,698 is 29665319684.

Find LCM of 676,506,497,698 with Prime Factorization

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

2 x 338 x 253 x 497 x 349 = 29665319684

Therefore, the lowest common multiple of 676,506,497,698 is 29665319684.

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.

676 x 506 x 497 x 698 = 118661278736

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.

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

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

497 : 1, 7, 71, 497

698 : 1, 2, 349, 698

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,506,497,698, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

506:2x 11x 23

497:7x 71

698:2x 349

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 118661278736/(1x4)

LCM = 118661278736/4

LCM = 29665319684

Thus, we can understand that the LCM of 676,506,497,698 is 29665319684.

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

• LCM of 847, 828, 904, 930
• LCM of 577, 901, 843, 474
• LCM of 497, 272, 366, 429
• LCM of 348, 452, 758, 182
• LCM of 911, 207, 278, 166

1. What is the LCM of 676, 506, 497, 698?

Answer: LCM of 676, 506, 497, 698 is 29665319684.

2. How to calculate the LCM of 676, 506, 497, 698?

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 676, 506, 497, 698.

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}.