Given numbers are 444,542,918,375,169

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

The LCM of 444,542,918,375,169 is 388902208500.

Find LCM of 444,542,918,375,169 with Prime Factorization

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

2 x 3 x 74 x 271 x 153 x 125 x 169 = 388902208500

Therefore, the lowest common multiple of 444,542,918,375,169 is 388902208500.

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.

444 x 542 x 918 x 375 x 169 = 14000479506000

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.

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

542 : 1, 2, 271, 542

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

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

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 444,542,918,375,169, is 1.

Now, the common factors can be found like this.

444:2x 2x 3x 37

542:2x 271

918:2x 3x 3x 3x 17

375:3x 5x 5x 5

169:13x 13

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 3 = 36

Therefore, the value for common factors is 36.

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 = 14000479506000/(1x36)

LCM = 14000479506000/36

LCM = 388902208500

Thus, we can understand that the LCM of 444,542,918,375,169 is 388902208500.

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

• LCM of 771, 644, 315, 749, 268
• LCM of 171, 714, 242, 429, 700
• LCM of 471, 518, 847, 902, 459
• LCM of 824, 574, 389, 687, 838
• LCM of 705, 767, 932, 582, 934

1. What is the LCM of 444, 542, 918, 375, 169?

Answer: LCM of 444, 542, 918, 375, 169 is 388902208500.

2. How to calculate the LCM of 444, 542, 918, 375, 169?

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 444, 542, 918, 375, 169.

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}.