Given numbers are 296,220,638,186,489

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

The LCM of 296,220,638,186,489 is 7156867080.

Find LCM of 296,220,638,186,489 with Prime Factorization

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

2 x 2 x 3 x 11 x 74 x 5 x 29 x 31 x 163 = 7156867080

Therefore, the lowest common multiple of 296,220,638,186,489 is 7156867080.

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.

296 x 220 x 638 x 186 x 489 = 3778825818240

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.

296 : 1, 2, 4, 8, 37, 74, 148, 296

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

638 : 1, 2, 11, 22, 29, 58, 319, 638

186 : 1, 2, 3, 6, 31, 62, 93, 186

489 : 1, 3, 163, 489

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,220,638,186,489, is 1.

Now, the common factors can be found like this.

296:2x 2x 2x 37

220:2x 2x 5x 11

638:2x 11x 29

186:2x 3x 31

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 11 = 528

Therefore, the value for common factors is 528.

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 = 3778825818240/(1x528)

LCM = 3778825818240/528

LCM = 7156867080

Thus, we can understand that the LCM of 296,220,638,186,489 is 7156867080.

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

• LCM of 104, 137, 998, 326, 552
• LCM of 494, 325, 788, 194, 252
• LCM of 893, 525, 159, 261, 264
• LCM of 226, 347, 346, 835, 149
• LCM of 672, 582, 581, 159, 958

1. What is the LCM of 296, 220, 638, 186, 489?

Answer: LCM of 296, 220, 638, 186, 489 is 7156867080.

2. How to calculate the LCM of 296, 220, 638, 186, 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 296, 220, 638, 186, 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}.