Given numbers are 746,169,737,590,413

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

The LCM of 746,169,737,590,413 is 191872650970.

Find LCM of 746,169,737,590,413 with Prime Factorization

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

2 x 59 x 373 x 169 x 737 x 5 x 7 = 191872650970

Therefore, the lowest common multiple of 746,169,737,590,413 is 191872650970.

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.

746 x 169 x 737 x 590 x 413 = 22640972814460

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.

746 : 1, 2, 373, 746

169 : 1, 13, 169

737 : 1, 11, 67, 737

590 : 1, 2, 5, 10, 59, 118, 295, 590

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,169,737,590,413, is 1.

Now, the common factors can be found like this.

746:2x 373

169:13x 13

737:11x 67

590:2x 5x 59

413:7x 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 59 = 118

Therefore, the value for common factors is 118.

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 = 22640972814460/(1x118)

LCM = 22640972814460/118

LCM = 191872650970

Thus, we can understand that the LCM of 746,169,737,590,413 is 191872650970.

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

• LCM of 756, 615, 223, 745, 723
• LCM of 303, 243, 409, 487, 674
• LCM of 316, 758, 853, 601, 591
• LCM of 796, 360, 455, 693, 371
• LCM of 268, 379, 303, 175, 601

1. What is the LCM of 746, 169, 737, 590, 413?

Answer: LCM of 746, 169, 737, 590, 413 is 191872650970.

2. How to calculate the LCM of 746, 169, 737, 590, 413?

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 746, 169, 737, 590, 413.

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}.