Given numbers are 489,121,744,262

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

The LCM of 489,121,744,262 is 1922282472.

Find LCM of 489,121,744,262 with Prime Factorization

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

2 x 3 x 163 x 121 x 124 x 131 = 1922282472

Therefore, the lowest common multiple of 489,121,744,262 is 1922282472.

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 121 x 744 x 262 = 11533694832

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

121 : 1, 11, 121

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

262 : 1, 2, 131, 262

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,121,744,262, is 1.

Now, the common factors can be found like this.

489:3x 163

121:11x 11

744:2x 2x 2x 3x 31

262:2x 131

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 11533694832/(1x6)

LCM = 11533694832/6

LCM = 1922282472

Thus, we can understand that the LCM of 489,121,744,262 is 1922282472.

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

• LCM of 261, 230, 817, 122
• LCM of 879, 297, 804, 463
• LCM of 475, 419, 132, 335
• LCM of 117, 356, 444, 223
• LCM of 790, 958, 300, 154

1. What is the LCM of 489, 121, 744, 262?

Answer: LCM of 489, 121, 744, 262 is 1922282472.

2. How to calculate the LCM of 489, 121, 744, 262?

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, 121, 744, 262.

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}.