Given numbers are 260,543,116,104,638

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

The LCM of 260,543,116,104,638 is 90072840.

Find LCM of 260,543,116,104,638 with Prime Factorization

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

2 x 2 x 13 x 29 x 5 x 543 x 1 x 2 x 11 = 90072840

Therefore, the lowest common multiple of 260,543,116,104,638 is 90072840.

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.

260 x 543 x 116 x 104 x 638 = 1086638741760

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.

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

543 : 1, 3, 181, 543

116 : 1, 2, 4, 29, 58, 116

104 : 1, 2, 4, 8, 13, 26, 52, 104

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,543,116,104,638, is 1.

Now, the common factors can be found like this.

260:2x 2x 5x 13

543:3x 181

116:2x 2x 29

104:2x 2x 2x 13

638:2x 11x 29

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 13x 29 = 12064

Therefore, the value for common factors is 12064.

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 = 1086638741760/(1x12064)

LCM = 1086638741760/12064

LCM = 90072840

Thus, we can understand that the LCM of 260,543,116,104,638 is 90072840.

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

• LCM of 816, 323, 890, 355, 707
• LCM of 261, 803, 500, 674, 116
• LCM of 538, 430, 737, 816, 757
• LCM of 695, 929, 398, 519, 791
• LCM of 633, 776, 507, 422, 433

1. What is the LCM of 260, 543, 116, 104, 638?

Answer: LCM of 260, 543, 116, 104, 638 is 90072840.

2. How to calculate the LCM of 260, 543, 116, 104, 638?

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 260, 543, 116, 104, 638.

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}.