Given numbers are 10,74,96,697

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

The LCM of 10,74,96,697 is 12378720.

Find LCM of 10,74,96,697 with Prime Factorization

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

2 x 5 x 37 x 48 x 697 = 12378720

Therefore, the lowest common multiple of 10,74,96,697 is 12378720.

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.

10 x 74 x 96 x 697 = 49514880

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.

10 : 1, 2, 5, 10

74 : 1, 2, 37, 74

96 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

697 : 1, 17, 41, 697

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 10,74,96,697, is 1.

Now, the common factors can be found like this.

10:2x 5

74:2x 37

96:2x 2x 2x 2x 2x 3

697:17x 41

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 49514880/(1x4)

LCM = 49514880/4

LCM = 12378720

Thus, we can understand that the LCM of 10,74,96,697 is 12378720.

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

• LCM of 55, 20, 69, 827
• LCM of 61, 24, 74, 635
• LCM of 36, 84, 90, 883
• LCM of 67, 57, 53, 845
• LCM of 71, 16, 60, 171

1. What is the LCM of 10, 74, 96, 697?

Answer: LCM of 10, 74, 96, 697 is 12378720.

2. How to calculate the LCM of 10, 74, 96, 697?

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 10, 74, 96, 697.

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}.