Given numbers are 744,286,414,375,549

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

The LCM of 744,286,414,375,549 is 55975491000.

Find LCM of 744,286,414,375,549 with Prime Factorization

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

2 x 3 x 3 x 124 x 143 x 23 x 125 x 61 = 55975491000

Therefore, the lowest common multiple of 744,286,414,375,549 is 55975491000.

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.

744 x 286 x 414 x 375 x 549 = 18136059084000

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.

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

286 : 1, 2, 11, 13, 22, 26, 143, 286

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

375 : 1, 3, 5, 15, 25, 75, 125, 375

549 : 1, 3, 9, 61, 183, 549

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 744,286,414,375,549, is 1.

Now, the common factors can be found like this.

744:2x 2x 2x 3x 31

286:2x 11x 13

414:2x 3x 3x 23

375:3x 5x 5x 5

549:3x 3x 61

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 3x 3x 3 = 324

Therefore, the value for common factors is 324.

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 = 18136059084000/(1x324)

LCM = 18136059084000/324

LCM = 55975491000

Thus, we can understand that the LCM of 744,286,414,375,549 is 55975491000.

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

• LCM of 638, 132, 841, 106, 756
• LCM of 120, 482, 564, 166, 824
• LCM of 262, 845, 380, 205, 337
• LCM of 478, 272, 561, 162, 952
• LCM of 119, 524, 173, 961, 847

1. What is the LCM of 744, 286, 414, 375, 549?

Answer: LCM of 744, 286, 414, 375, 549 is 55975491000.

2. How to calculate the LCM of 744, 286, 414, 375, 549?

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 744, 286, 414, 375, 549.

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}.