Given numbers are 974,74,110

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

The LCM of 974,74,110 is 1982090.

Find LCM of 974,74,110 with Prime Factorization

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

2 x 487 x 37 x 55 = 1982090

Therefore, the lowest common multiple of 974,74,110 is 1982090.

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.

974 x 74 x 110 = 7928360

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.

974 : 1, 2, 487, 974

74 : 1, 2, 37, 74

110 : 1, 2, 5, 10, 11, 22, 55, 110

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,74,110, is 2.

Now, the common factors can be found like this.

974:2x 487

74:2x 37

110:2x 5x 11

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

2 = 2

Therefore, the value for common factors is 2.

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 = 7928360/(2x2)

LCM = 7928360/4

LCM = 1982090

Thus, we can understand that the LCM of 974,74,110 is 1982090.

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

• LCM of 398, 54, 867
• LCM of 186, 67, 530
• LCM of 279, 22, 571
• LCM of 751, 65, 926
• LCM of 211, 29, 456

1. What is the LCM of 974, 74, 110?

Answer: LCM of 974, 74, 110 is 1982090.

2. How to calculate the LCM of 974, 74, 110?

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 974, 74, 110.

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}.