Given numbers are 52,14,97,78,564

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

The LCM of 52,14,97,78,564 is 4978428.

Find LCM of 52,14,97,78,564 with Prime Factorization

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

2 x 2 x 3 x 13 x 1 x 7 x 97 x 1 x 47 = 4978428

Therefore, the lowest common multiple of 52,14,97,78,564 is 4978428.

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 14 x 97 x 78 x 564 = 3106539072

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

14 : 1, 2, 7, 14

97 : 1, 97

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

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 52,14,97,78,564, is 1.

Now, the common factors can be found like this.

52:2x 2x 13

14:2x 7

97:97

78:2x 3x 13

564:2x 2x 3x 47

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

2x 2x 2x 2x 3x 13 = 624

Therefore, the value for common factors is 624.

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 = 3106539072/(1x624)

LCM = 3106539072/624

LCM = 4978428

Thus, we can understand that the LCM of 52,14,97,78,564 is 4978428.

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

• LCM of 70, 47, 17, 85, 417
• LCM of 37, 91, 42, 42, 602
• LCM of 52, 22, 49, 49, 692
• LCM of 47, 31, 54, 98, 316
• LCM of 27, 84, 30, 23, 327

1. What is the LCM of 52, 14, 97, 78, 564?

Answer: LCM of 52, 14, 97, 78, 564 is 4978428.

2. How to calculate the LCM of 52, 14, 97, 78, 564?

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, 14, 97, 78, 564.

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}.