Given numbers are 522,438,313,978

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

The LCM of 522,438,313,978 is 1944130014.

Find LCM of 522,438,313,978 with Prime Factorization

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

2 x 3 x 87 x 73 x 313 x 163 = 1944130014

Therefore, the lowest common multiple of 522,438,313,978 is 1944130014.

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.

522 x 438 x 313 x 978 = 69988680504

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.

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

438 : 1, 2, 3, 6, 73, 146, 219, 438

313 : 1, 313

978 : 1, 2, 3, 6, 163, 326, 489, 978

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 522,438,313,978, is 1.

Now, the common factors can be found like this.

522:2x 3x 3x 29

438:2x 3x 73

313:313

978:2x 3x 163

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 69988680504/(1x36)

LCM = 69988680504/36

LCM = 1944130014

Thus, we can understand that the LCM of 522,438,313,978 is 1944130014.

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

• LCM of 423, 213, 553, 277
• LCM of 781, 118, 535, 119
• LCM of 315, 743, 944, 245
• LCM of 559, 958, 786, 596
• LCM of 501, 683, 154, 470

1. What is the LCM of 522, 438, 313, 978?

Answer: LCM of 522, 438, 313, 978 is 1944130014.

2. How to calculate the LCM of 522, 438, 313, 978?

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 522, 438, 313, 978.

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}.