Given numbers are 260,511,135,977,140

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

The LCM of 260,511,135,977,140 is 3504713940.

Find LCM of 260,511,135,977,140 with Prime Factorization

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

2 x 2 x 5 x 7 x 13 x 73 x 27 x 977 x 1 = 3504713940

Therefore, the lowest common multiple of 260,511,135,977,140 is 3504713940.

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 511 x 135 x 977 x 140 = 2453299758000

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

511 : 1, 7, 73, 511

135 : 1, 3, 5, 9, 15, 27, 45, 135

977 : 1, 977

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,511,135,977,140, is 1.

Now, the common factors can be found like this.

260:2x 2x 5x 13

511:7x 73

135:3x 3x 3x 5

977:977

140:2x 2x 5x 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 5x 5x 7 = 700

Therefore, the value for common factors is 700.

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 = 2453299758000/(1x700)

LCM = 2453299758000/700

LCM = 3504713940

Thus, we can understand that the LCM of 260,511,135,977,140 is 3504713940.

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

• LCM of 578, 463, 276, 359, 458
• LCM of 349, 896, 127, 846, 906
• LCM of 810, 569, 477, 435, 715
• LCM of 924, 695, 987, 602, 180
• LCM of 910, 245, 921, 170, 547

1. What is the LCM of 260, 511, 135, 977, 140?

Answer: LCM of 260, 511, 135, 977, 140 is 3504713940.

2. How to calculate the LCM of 260, 511, 135, 977, 140?

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, 511, 135, 977, 140.

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}.