Given numbers are 78,40,69,239

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

The LCM of 78,40,69,239 is 8575320.

Find LCM of 78,40,69,239 with Prime Factorization

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

2 x 3 x 13 x 20 x 23 x 239 = 8575320

Therefore, the lowest common multiple of 78,40,69,239 is 8575320.

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.

78 x 40 x 69 x 239 = 51451920

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.

78 : 1, 2, 3, 6, 13, 26, 39, 78

40 : 1, 2, 4, 5, 8, 10, 20, 40

69 : 1, 3, 23, 69

239 : 1, 239

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 78,40,69,239, is 1.

Now, the common factors can be found like this.

78:2x 3x 13

40:2x 2x 2x 5

69:3x 23

239:239

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 51451920/(1x6)

LCM = 51451920/6

LCM = 8575320

Thus, we can understand that the LCM of 78,40,69,239 is 8575320.

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

• LCM of 47, 15, 28, 919
• LCM of 94, 33, 52, 515
• LCM of 32, 73, 38, 258
• LCM of 15, 11, 90, 776
• LCM of 55, 66, 22, 770

1. What is the LCM of 78, 40, 69, 239?

Answer: LCM of 78, 40, 69, 239 is 8575320.

2. How to calculate the LCM of 78, 40, 69, 239?

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 78, 40, 69, 239.

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}.