Given numbers are 421,507,646,689

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

The LCM of 421,507,646,689 is 7307998386.

Find LCM of 421,507,646,689 with Prime Factorization

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

13 x 421 x 39 x 646 x 53 = 7307998386

Therefore, the lowest common multiple of 421,507,646,689 is 7307998386.

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.

421 x 507 x 646 x 689 = 95003979018

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.

421 : 1, 421

507 : 1, 3, 13, 39, 169, 507

646 : 1, 2, 17, 19, 34, 38, 323, 646

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,507,646,689, is 1.

Now, the common factors can be found like this.

421:421

507:3x 13x 13

646:2x 17x 19

689:13x 53

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

13 = 13

Therefore, the value for common factors is 13.

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 = 95003979018/(1x13)

LCM = 95003979018/13

LCM = 7307998386

Thus, we can understand that the LCM of 421,507,646,689 is 7307998386.

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

• LCM of 854, 881, 412, 744
• LCM of 919, 327, 592, 263
• LCM of 525, 164, 964, 364
• LCM of 929, 531, 810, 370
• LCM of 575, 942, 924, 292

1. What is the LCM of 421, 507, 646, 689?

Answer: LCM of 421, 507, 646, 689 is 7307998386.

2. How to calculate the LCM of 421, 507, 646, 689?

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 421, 507, 646, 689.

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}.