Given numbers are 438,750,153,780,254

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

The LCM of 438,750,153,780,254 is 9220009500.

Find LCM of 438,750,153,780,254 with Prime Factorization

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

2 x 3 x 5 x 73 x 25 x 51 x 26 x 127 = 9220009500

Therefore, the lowest common multiple of 438,750,153,780,254 is 9220009500.

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.

438 x 750 x 153 x 780 x 254 = 9957610260000

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.

438 : 1, 2, 3, 6, 73, 146, 219, 438

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

153 : 1, 3, 9, 17, 51, 153

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

254 : 1, 2, 127, 254

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,750,153,780,254, is 1.

Now, the common factors can be found like this.

438:2x 3x 73

750:2x 3x 5x 5x 5

153:3x 3x 17

780:2x 2x 3x 5x 13

254:2x 127

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 3x 3x 3x 5 = 1080

Therefore, the value for common factors is 1080.

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 = 9957610260000/(1x1080)

LCM = 9957610260000/1080

LCM = 9220009500

Thus, we can understand that the LCM of 438,750,153,780,254 is 9220009500.

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

• LCM of 297, 671, 816, 413, 779
• LCM of 632, 364, 100, 314, 272
• LCM of 850, 229, 181, 905, 691
• LCM of 819, 924, 589, 864, 968
• LCM of 753, 350, 585, 622, 114

1. What is the LCM of 438, 750, 153, 780, 254?

Answer: LCM of 438, 750, 153, 780, 254 is 9220009500.

2. How to calculate the LCM of 438, 750, 153, 780, 254?

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 438, 750, 153, 780, 254.

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}.