Given numbers are 564,116,292,469

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

The LCM of 564,116,292,469 is 559980372.

Find LCM of 564,116,292,469 with Prime Factorization

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

2 x 2 x 141 x 29 x 73 x 469 = 559980372

Therefore, the lowest common multiple of 564,116,292,469 is 559980372.

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.

564 x 116 x 292 x 469 = 8959685952

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.

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

116 : 1, 2, 4, 29, 58, 116

292 : 1, 2, 4, 73, 146, 292

469 : 1, 7, 67, 469

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,116,292,469, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

116:2x 2x 29

292:2x 2x 73

469:7x 67

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 = 8959685952/(1x16)

LCM = 8959685952/16

LCM = 559980372

Thus, we can understand that the LCM of 564,116,292,469 is 559980372.

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

• LCM of 123, 129, 170, 213
• LCM of 858, 986, 333, 320
• LCM of 766, 138, 609, 989
• LCM of 767, 966, 142, 811
• LCM of 434, 852, 661, 713

1. What is the LCM of 564, 116, 292, 469?

Answer: LCM of 564, 116, 292, 469 is 559980372.

2. How to calculate the LCM of 564, 116, 292, 469?

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 564, 116, 292, 469.

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}.