Given numbers are 546,638,901,938,490

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

The LCM of 546,638,901,938,490 is 368002665030.

Find LCM of 546,638,901,938,490 with Prime Factorization

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

2 x 7 x 39 x 319 x 901 x 67 x 35 = 368002665030

Therefore, the lowest common multiple of 546,638,901,938,490 is 368002665030.

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 638 x 901 x 938 x 490 = 144257044691760

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

638 : 1, 2, 11, 22, 29, 58, 319, 638

901 : 1, 17, 53, 901

938 : 1, 2, 7, 14, 67, 134, 469, 938

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,638,901,938,490, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

638:2x 11x 29

901:17x 53

938:2x 7x 67

490:2x 5x 7x 7

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 7x 7 = 392

Therefore, the value for common factors is 392.

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 = 144257044691760/(1x392)

LCM = 144257044691760/392

LCM = 368002665030

Thus, we can understand that the LCM of 546,638,901,938,490 is 368002665030.

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

• LCM of 391, 243, 958, 406, 704
• LCM of 954, 396, 369, 422, 768
• LCM of 893, 945, 925, 540, 893
• LCM of 403, 263, 390, 660, 804
• LCM of 639, 387, 753, 962, 427

1. What is the LCM of 546, 638, 901, 938, 490?

Answer: LCM of 546, 638, 901, 938, 490 is 368002665030.

2. How to calculate the LCM of 546, 638, 901, 938, 490?

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, 638, 901, 938, 490.

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}.