Given numbers are 535,343,248,464,107

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

The LCM of 535,343,248,464,107 is 2639535920.

Find LCM of 535,343,248,464,107 with Prime Factorization

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

2 x 2 x 2 x 107 x 5 x 343 x 31 x 58 x 1 = 2639535920

Therefore, the lowest common multiple of 535,343,248,464,107 is 2639535920.

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.

535 x 343 x 248 x 464 x 107 = 2259442747520

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.

535 : 1, 5, 107, 535

343 : 1, 7, 49, 343

248 : 1, 2, 4, 8, 31, 62, 124, 248

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,343,248,464,107, is 1.

Now, the common factors can be found like this.

535:5x 107

343:7x 7x 7

248:2x 2x 2x 31

464:2x 2x 2x 2x 29

107:107

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 107 = 856

Therefore, the value for common factors is 856.

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 = 2259442747520/(1x856)

LCM = 2259442747520/856

LCM = 2639535920

Thus, we can understand that the LCM of 535,343,248,464,107 is 2639535920.

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

• LCM of 438, 775, 770, 701, 590
• LCM of 871, 916, 473, 134, 295
• LCM of 186, 704, 202, 663, 367
• LCM of 978, 469, 828, 610, 119
• LCM of 472, 309, 258, 280, 940

1. What is the LCM of 535, 343, 248, 464, 107?

Answer: LCM of 535, 343, 248, 464, 107 is 2639535920.

2. How to calculate the LCM of 535, 343, 248, 464, 107?

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 535, 343, 248, 464, 107.

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}.