Given numbers are 735,426,213,687

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

The LCM of 735,426,213,687 is 23900730.

Find LCM of 735,426,213,687 with Prime Factorization

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

3 x 71 x 245 x 2 x 1 x 229 = 23900730

Therefore, the lowest common multiple of 735,426,213,687 is 23900730.

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 426 x 213 x 687 = 45817699410

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

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

213 : 1, 3, 71, 213

687 : 1, 3, 229, 687

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,426,213,687, is 3.

Now, the common factors can be found like this.

735:3x 5x 7x 7

426:2x 3x 71

213:3x 71

687:3x 229

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 71 = 639

Therefore, the value for common factors is 639.

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 = 45817699410/(3x639)

LCM = 45817699410/1917

LCM = 23900730

Thus, we can understand that the LCM of 735,426,213,687 is 23900730.

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

• LCM of 388, 253, 669, 507
• LCM of 564, 911, 910, 988
• LCM of 315, 985, 645, 999
• LCM of 969, 123, 494, 941
• LCM of 161, 854, 921, 500

1. What is the LCM of 735, 426, 213, 687?

Answer: LCM of 735, 426, 213, 687 is 23900730.

2. How to calculate the LCM of 735, 426, 213, 687?

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, 426, 213, 687.

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}.