Given numbers are 435,525,930,540,438

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

The LCM of 435,525,930,540,438 is 1240350300.

Find LCM of 435,525,930,540,438 with Prime Factorization

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

2 x 3 x 5 x 29 x 35 x 31 x 18 x 73 = 1240350300

Therefore, the lowest common multiple of 435,525,930,540,438 is 1240350300.

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.

435 x 525 x 930 x 540 x 438 = 50234187150000

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.

435 : 1, 3, 5, 15, 29, 87, 145, 435

525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 435,525,930,540,438, is 3.

Now, the common factors can be found like this.

435:3x 5x 29

525:3x 5x 5x 7

930:2x 3x 5x 31

540:2x 2x 3x 3x 3x 5

438:2x 3x 73

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 5x 5x 5 = 13500

Therefore, the value for common factors is 13500.

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 = 50234187150000/(3x13500)

LCM = 50234187150000/40500

LCM = 1240350300

Thus, we can understand that the LCM of 435,525,930,540,438 is 1240350300.

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

• LCM of 528, 843, 946, 591, 283
• LCM of 799, 156, 982, 458, 285
• LCM of 976, 804, 891, 340, 175
• LCM of 174, 174, 480, 582, 903
• LCM of 898, 555, 330, 818, 392

1. What is the LCM of 435, 525, 930, 540, 438?

Answer: LCM of 435, 525, 930, 540, 438 is 1240350300.

2. How to calculate the LCM of 435, 525, 930, 540, 438?

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 435, 525, 930, 540, 438.

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}.