Given numbers are 690,605,974

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

The LCM of 690,605,974 is 40659630.

Find LCM of 690,605,974 with Prime Factorization

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

2 x 5 x 69 x 121 x 487 = 40659630

Therefore, the lowest common multiple of 690,605,974 is 40659630.

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.

690 x 605 x 974 = 406596300

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.

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

605 : 1, 5, 11, 55, 121, 605

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,605,974, is 1.

Now, the common factors can be found like this.

690:2x 3x 5x 23

605:5x 11x 11

974:2x 487

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 406596300/(1x10)

LCM = 406596300/10

LCM = 40659630

Thus, we can understand that the LCM of 690,605,974 is 40659630.

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

• LCM of 805, 925, 673
• LCM of 331, 302, 810
• LCM of 200, 526, 807
• LCM of 575, 939, 228
• LCM of 563, 353, 411

1. What is the LCM of 690, 605, 974?

Answer: LCM of 690, 605, 974 is 40659630.

2. How to calculate the LCM of 690, 605, 974?

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 690, 605, 974.

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}.