Given numbers are 28,42,617

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

The LCM of 28,42,617 is 51828.

Find LCM of 28,42,617 with Prime Factorization

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

2 x 7 x 2 x 3 x 617 = 51828

Therefore, the lowest common multiple of 28,42,617 is 51828.

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.

28 x 42 x 617 = 725592

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.

28 : 1, 2, 4, 7, 14, 28

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

617 : 1, 617

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 28,42,617, is 1.

Now, the common factors can be found like this.

28:2x 2x 7

42:2x 3x 7

617:617

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 725592/(1x14)

LCM = 725592/14

LCM = 51828

Thus, we can understand that the LCM of 28,42,617 is 51828.

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

• LCM of 92, 30, 486
• LCM of 67, 75, 795
• LCM of 40, 30, 335
• LCM of 78, 67, 141
• LCM of 25, 24, 503

1. What is the LCM of 28, 42, 617?

Answer: LCM of 28, 42, 617 is 51828.

2. How to calculate the LCM of 28, 42, 617?

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 28, 42, 617.

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}.