Given numbers are 735,486,354,424,692

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

The LCM of 735,486,354,424,692 is 257653667880.

Find LCM of 735,486,354,424,692 with Prime Factorization

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

2 x 2 x 3 x 245 x 81 x 59 x 106 x 173 = 257653667880

Therefore, the lowest common multiple of 735,486,354,424,692 is 257653667880.

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.

735 x 486 x 354 x 424 x 692 = 37102128174720

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.

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

354 : 1, 2, 3, 6, 59, 118, 177, 354

424 : 1, 2, 4, 8, 53, 106, 212, 424

692 : 1, 2, 4, 173, 346, 692

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,486,354,424,692, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

486:2x 3x 3x 3x 3x 3

354:2x 3x 59

424:2x 2x 2x 53

692:2x 2x 173

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 37102128174720/(1x144)

LCM = 37102128174720/144

LCM = 257653667880

Thus, we can understand that the LCM of 735,486,354,424,692 is 257653667880.

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

• LCM of 258, 591, 694, 142, 184
• LCM of 673, 581, 940, 158, 679
• LCM of 267, 299, 389, 889, 853
• LCM of 921, 828, 477, 237, 268
• LCM of 905, 617, 276, 143, 480

1. What is the LCM of 735, 486, 354, 424, 692?

Answer: LCM of 735, 486, 354, 424, 692 is 257653667880.

2. How to calculate the LCM of 735, 486, 354, 424, 692?

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 735, 486, 354, 424, 692.

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}.