Given numbers are 746,816,574,972,489

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

The LCM of 746,816,574,972,489 is 1153329792048.

Find LCM of 746,816,574,972,489 with Prime Factorization

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

2 x 2 x 3 x 373 x 68 x 287 x 81 x 163 = 1153329792048

Therefore, the lowest common multiple of 746,816,574,972,489 is 1153329792048.

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.

746 x 816 x 574 x 972 x 489 = 166079490054912

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.

746 : 1, 2, 373, 746

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

574 : 1, 2, 7, 14, 41, 82, 287, 574

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

489 : 1, 3, 163, 489

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,816,574,972,489, is 1.

Now, the common factors can be found like this.

746:2x 373

816:2x 2x 2x 2x 3x 17

574:2x 7x 41

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

489:3x 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 2x 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 166079490054912/(1x144)

LCM = 166079490054912/144

LCM = 1153329792048

Thus, we can understand that the LCM of 746,816,574,972,489 is 1153329792048.

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

• LCM of 249, 116, 441, 275, 818
• LCM of 261, 963, 581, 784, 807
• LCM of 663, 276, 672, 123, 732
• LCM of 203, 452, 880, 626, 294
• LCM of 104, 787, 280, 560, 559

1. What is the LCM of 746, 816, 574, 972, 489?

Answer: LCM of 746, 816, 574, 972, 489 is 1153329792048.

2. How to calculate the LCM of 746, 816, 574, 972, 489?

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 746, 816, 574, 972, 489.

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}.