Given numbers are 489,107,437,978

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

The LCM of 489,107,437,978 is 45730302.

Find LCM of 489,107,437,978 with Prime Factorization

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

3 x 163 x 1 x 107 x 437 x 2 = 45730302

Therefore, the lowest common multiple of 489,107,437,978 is 45730302.

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.

489 x 107 x 437 x 978 = 22362117678

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.

489 : 1, 3, 163, 489

107 : 1, 107

437 : 1, 19, 23, 437

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 489,107,437,978, is 1.

Now, the common factors can be found like this.

489:3x 163

107:107

437:19x 23

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.

3x 163 = 489

Therefore, the value for common factors is 489.

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 = 22362117678/(1x489)

LCM = 22362117678/489

LCM = 45730302

Thus, we can understand that the LCM of 489,107,437,978 is 45730302.

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

• LCM of 131, 135, 545, 157
• LCM of 909, 294, 160, 562
• LCM of 969, 718, 749, 603
• LCM of 133, 105, 362, 207
• LCM of 630, 190, 369, 461

1. What is the LCM of 489, 107, 437, 978?

Answer: LCM of 489, 107, 437, 978 is 45730302.

2. How to calculate the LCM of 489, 107, 437, 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 489, 107, 437, 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}.