Given numbers are 52,49,79,13,78

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

The LCM of 52,49,79,13,78 is 603876.

Find LCM of 52,49,79,13,78 with Prime Factorization

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

2 x 13 x 2 x 49 x 79 x 1 x 3 = 603876

Therefore, the lowest common multiple of 52,49,79,13,78 is 603876.

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.

52 x 49 x 79 x 13 x 78 = 204110088

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.

52 : 1, 2, 4, 13, 26, 52

49 : 1, 7, 49

79 : 1, 79

13 : 1, 13

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 52,49,79,13,78, is 1.

Now, the common factors can be found like this.

52:2x 2x 13

49:7x 7

79:79

13:13

78:2x 3x 13

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

2x 13x 13 = 338

Therefore, the value for common factors is 338.

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 = 204110088/(1x338)

LCM = 204110088/338

LCM = 603876

Thus, we can understand that the LCM of 52,49,79,13,78 is 603876.

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

• LCM of 17, 79, 81, 86, 61
• LCM of 15, 13, 33, 22, 11
• LCM of 21, 76, 16, 40, 37
• LCM of 59, 81, 87, 38, 58
• LCM of 74, 45, 14, 60, 89

1. What is the LCM of 52, 49, 79, 13, 78?

Answer: LCM of 52, 49, 79, 13, 78 is 603876.

2. How to calculate the LCM of 52, 49, 79, 13, 78?

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 52, 49, 79, 13, 78.

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}.