Given numbers are 97,86,90,56,428

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

The LCM of 97,86,90,56,428 is 1124668440.

Find LCM of 97,86,90,56,428 with Prime Factorization

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

2 x 2 x 97 x 43 x 45 x 14 x 107 = 1124668440

Therefore, the lowest common multiple of 97,86,90,56,428 is 1124668440.

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 86 x 90 x 56 x 428 = 17994695040

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

86 : 1, 2, 43, 86

90 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

56 : 1, 2, 4, 7, 8, 14, 28, 56

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 97,86,90,56,428, is 1.

Now, the common factors can be found like this.

97:97

86:2x 43

90:2x 3x 3x 5

56:2x 2x 2x 7

428:2x 2x 107

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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 17994695040/(1x16)

LCM = 17994695040/16

LCM = 1124668440

Thus, we can understand that the LCM of 97,86,90,56,428 is 1124668440.

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

• LCM of 42, 37, 55, 42, 197
• LCM of 55, 17, 28, 91, 170
• LCM of 98, 81, 10, 79, 563
• LCM of 72, 13, 92, 87, 149
• LCM of 26, 55, 34, 11, 382

1. What is the LCM of 97, 86, 90, 56, 428?

Answer: LCM of 97, 86, 90, 56, 428 is 1124668440.

2. How to calculate the LCM of 97, 86, 90, 56, 428?

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, 86, 90, 56, 428.

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}.