Given numbers are 52,39,13,97,968

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

The LCM of 52,39,13,97,968 is 3661944.

Find LCM of 52,39,13,97,968 with Prime Factorization

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

2 x 2 x 13 x 1 x 3 x 1 x 97 x 242 = 3661944

Therefore, the lowest common multiple of 52,39,13,97,968 is 3661944.

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 39 x 13 x 97 x 968 = 2475474144

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

39 : 1, 3, 13, 39

13 : 1, 13

97 : 1, 97

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 52,39,13,97,968, is 1.

Now, the common factors can be found like this.

52:2x 2x 13

39:3x 13

13:13

97:97

968:2x 2x 2x 11x 11

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 13x 13 = 676

Therefore, the value for common factors is 676.

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 = 2475474144/(1x676)

LCM = 2475474144/676

LCM = 3661944

Thus, we can understand that the LCM of 52,39,13,97,968 is 3661944.

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

• LCM of 41, 59, 52, 45, 808
• LCM of 41, 76, 81, 34, 488
• LCM of 52, 59, 37, 10, 168
• LCM of 67, 56, 67, 69, 632
• LCM of 67, 45, 19, 31, 501

1. What is the LCM of 52, 39, 13, 97, 968?

Answer: LCM of 52, 39, 13, 97, 968 is 3661944.

2. How to calculate the LCM of 52, 39, 13, 97, 968?

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, 39, 13, 97, 968.

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}.