Given numbers are 403,212,689

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

The LCM of 403,212,689 is 85436.

Find LCM of 403,212,689 with Prime Factorization

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

13 x 53 x 31 x 4 x 1 = 85436

Therefore, the lowest common multiple of 403,212,689 is 85436.

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.

403 x 212 x 689 = 58865404

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.

403 : 1, 13, 31, 403

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

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,212,689, is 1.

Now, the common factors can be found like this.

403:13x 31

212:2x 2x 53

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.

13x 53 = 689

Therefore, the value for common factors is 689.

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 = 58865404/(1x689)

LCM = 58865404/689

LCM = 85436

Thus, we can understand that the LCM of 403,212,689 is 85436.

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

• LCM of 448, 939, 895
• LCM of 535, 717, 434
• LCM of 478, 107, 118
• LCM of 487, 855, 739
• LCM of 634, 607, 377

1. What is the LCM of 403, 212, 689?

Answer: LCM of 403, 212, 689 is 85436.

2. How to calculate the LCM of 403, 212, 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 403, 212, 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}.