Given numbers are 42,31,698

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

The LCM of 42,31,698 is 454398.

Find LCM of 42,31,698 with Prime Factorization

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

2 x 21 x 31 x 349 = 454398

Therefore, the lowest common multiple of 42,31,698 is 454398.

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.

42 x 31 x 698 = 908796

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.

42 : 1, 2, 3, 6, 7, 14, 21, 42

31 : 1, 31

698 : 1, 2, 349, 698

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 42,31,698, is 1.

Now, the common factors can be found like this.

42:2x 3x 7

31:31

698:2x 349

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

2 = 2

Therefore, the value for common factors is 2.

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 = 908796/(1x2)

LCM = 908796/2

LCM = 454398

Thus, we can understand that the LCM of 42,31,698 is 454398.

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

• LCM of 38, 88, 596
• LCM of 39, 64, 468
• LCM of 11, 46, 205
• LCM of 80, 68, 356
• LCM of 66, 50, 168

1. What is the LCM of 42, 31, 698?

Answer: LCM of 42, 31, 698 is 454398.

2. How to calculate the LCM of 42, 31, 698?

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 42, 31, 698.

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}.