Given numbers are 546,829,298,902,138

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

The LCM of 546,829,298,902,138 is 699580699818.

Find LCM of 546,829,298,902,138 with Prime Factorization

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

2 x 3 x 91 x 829 x 149 x 451 x 23 = 699580699818

Therefore, the lowest common multiple of 546,829,298,902,138 is 699580699818.

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.

546 x 829 x 298 x 902 x 138 = 16789936795632

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.

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

829 : 1, 829

298 : 1, 2, 149, 298

902 : 1, 2, 11, 22, 41, 82, 451, 902

138 : 1, 2, 3, 6, 23, 46, 69, 138

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,829,298,902,138, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

829:829

298:2x 149

902:2x 11x 41

138:2x 3x 23

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 3 = 24

Therefore, the value for common factors is 24.

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 = 16789936795632/(1x24)

LCM = 16789936795632/24

LCM = 699580699818

Thus, we can understand that the LCM of 546,829,298,902,138 is 699580699818.

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

• LCM of 220, 443, 939, 449, 806
• LCM of 267, 816, 662, 853, 674
• LCM of 288, 535, 504, 115, 229
• LCM of 315, 717, 193, 852, 662
• LCM of 537, 887, 671, 697, 427

1. What is the LCM of 546, 829, 298, 902, 138?

Answer: LCM of 546, 829, 298, 902, 138 is 699580699818.

2. How to calculate the LCM of 546, 829, 298, 902, 138?

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 546, 829, 298, 902, 138.

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}.