Given numbers are 579,142,536,749,416

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

The LCM of 579,142,536,749,416 is 858196745952.

Find LCM of 579,142,536,749,416 with Prime Factorization

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

2 x 2 x 2 x 579 x 71 x 67 x 749 x 52 = 858196745952

Therefore, the lowest common multiple of 579,142,536,749,416 is 858196745952.

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.

579 x 142 x 536 x 749 x 416 = 13731147935232

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.

579 : 1, 3, 193, 579

142 : 1, 2, 71, 142

536 : 1, 2, 4, 8, 67, 134, 268, 536

749 : 1, 7, 107, 749

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 579,142,536,749,416, is 1.

Now, the common factors can be found like this.

579:3x 193

142:2x 71

536:2x 2x 2x 67

749:7x 107

416:2x 2x 2x 2x 2x 13

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 2 = 16

Therefore, the value for common factors is 16.

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 = 13731147935232/(1x16)

LCM = 13731147935232/16

LCM = 858196745952

Thus, we can understand that the LCM of 579,142,536,749,416 is 858196745952.

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

• LCM of 688, 479, 653, 739, 476
• LCM of 801, 383, 261, 464, 473
• LCM of 467, 116, 184, 969, 554
• LCM of 215, 990, 666, 725, 466
• LCM of 392, 681, 162, 184, 978

1. What is the LCM of 579, 142, 536, 749, 416?

Answer: LCM of 579, 142, 536, 749, 416 is 858196745952.

2. How to calculate the LCM of 579, 142, 536, 749, 416?

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 579, 142, 536, 749, 416.

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}.