Given numbers are 97,34,73,564

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

The LCM of 97,34,73,564 is 67892628.

Find LCM of 97,34,73,564 with Prime Factorization

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

2 x 97 x 17 x 73 x 282 = 67892628

Therefore, the lowest common multiple of 97,34,73,564 is 67892628.

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.

97 x 34 x 73 x 564 = 135785256

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.

97 : 1, 97

34 : 1, 2, 17, 34

73 : 1, 73

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 97,34,73,564, is 1.

Now, the common factors can be found like this.

97:97

34:2x 17

73:73

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.

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 = 135785256/(1x2)

LCM = 135785256/2

LCM = 67892628

Thus, we can understand that the LCM of 97,34,73,564 is 67892628.

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

• LCM of 28, 98, 60, 429
• LCM of 48, 92, 58, 593
• LCM of 49, 59, 93, 526
• LCM of 39, 59, 65, 423
• LCM of 76, 51, 12, 773

1. What is the LCM of 97, 34, 73, 564?

Answer: LCM of 97, 34, 73, 564 is 67892628.

2. How to calculate the LCM of 97, 34, 73, 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 97, 34, 73, 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}.