Given numbers are 78,13,431

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

The LCM of 78,13,431 is 33618.

Find LCM of 78,13,431 with Prime Factorization

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

13 x 6 x 1 x 431 = 33618

Therefore, the lowest common multiple of 78,13,431 is 33618.

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 13 x 431 = 437034

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

13 : 1, 13

431 : 1, 431

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 78,13,431, is 1.

Now, the common factors can be found like this.

78:2x 3x 13

13:13

431:431

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

13 = 13

Therefore, the value for common factors is 13.

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 = 437034/(1x13)

LCM = 437034/13

LCM = 33618

Thus, we can understand that the LCM of 78,13,431 is 33618.

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

• LCM of 48, 60, 294
• LCM of 71, 58, 748
• LCM of 36, 30, 762
• LCM of 55, 92, 378
• LCM of 85, 98, 991

1. What is the LCM of 78, 13, 431?

Answer: LCM of 78, 13, 431 is 33618.

2. How to calculate the LCM of 78, 13, 431?

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, 13, 431.

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}.