Given numbers are 972,314,974

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

The LCM of 972,314,974 is 74318148.

Find LCM of 972,314,974 with Prime Factorization

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

2 x 486 x 157 x 487 = 74318148

Therefore, the lowest common multiple of 972,314,974 is 74318148.

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.

972 x 314 x 974 = 297272592

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.

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

314 : 1, 2, 157, 314

974 : 1, 2, 487, 974

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,314,974, is 2.

Now, the common factors can be found like this.

972:2x 2x 3x 3x 3x 3x 3

314:2x 157

974:2x 487

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 = 297272592/(2x2)

LCM = 297272592/4

LCM = 74318148

Thus, we can understand that the LCM of 972,314,974 is 74318148.

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

• LCM of 495, 289, 928
• LCM of 174, 785, 467
• LCM of 772, 637, 768
• LCM of 824, 898, 276
• LCM of 304, 933, 831

1. What is the LCM of 972, 314, 974?

Answer: LCM of 972, 314, 974 is 74318148.

2. How to calculate the LCM of 972, 314, 974?

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 972, 314, 974.

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}.