Given numbers are 426,546,409,694,536

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

The LCM of 426,546,409,694,536 is 1474478920824.

Find LCM of 426,546,409,694,536 with Prime Factorization

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

2 x 3 x 71 x 91 x 409 x 347 x 268 = 1474478920824

Therefore, the lowest common multiple of 426,546,409,694,536 is 1474478920824.

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.

426 x 546 x 409 x 694 x 536 = 35387494099776

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.

426 : 1, 2, 3, 6, 71, 142, 213, 426

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

409 : 1, 409

694 : 1, 2, 347, 694

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,546,409,694,536, is 1.

Now, the common factors can be found like this.

426:2x 3x 71

546:2x 3x 7x 13

409:409

694:2x 347

536:2x 2x 2x 67

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 3 = 24

Therefore, the value for common factors is 24.

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 = 35387494099776/(1x24)

LCM = 35387494099776/24

LCM = 1474478920824

Thus, we can understand that the LCM of 426,546,409,694,536 is 1474478920824.

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

• LCM of 197, 730, 863, 477, 266
• LCM of 630, 827, 971, 379, 253
• LCM of 113, 174, 928, 448, 297
• LCM of 642, 258, 873, 936, 806
• LCM of 685, 363, 275, 171, 564

1. What is the LCM of 426, 546, 409, 694, 536?

Answer: LCM of 426, 546, 409, 694, 536 is 1474478920824.

2. How to calculate the LCM of 426, 546, 409, 694, 536?

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 426, 546, 409, 694, 536.

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}.