Given numbers are 510,374,480,438

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

The LCM of 510,374,480,438 is 6552480.

Find LCM of 510,374,480,438 with Prime Factorization

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

2 x 3 x 5 x 17 x 1 x 11 x 16 x 73 = 6552480

Therefore, the lowest common multiple of 510,374,480,438 is 6552480.

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.

510 x 374 x 480 x 438 = 40101177600

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.

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

374 : 1, 2, 11, 17, 22, 34, 187, 374

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,374,480,438, is 2.

Now, the common factors can be found like this.

510:2x 3x 5x 17

374:2x 11x 17

480:2x 2x 2x 2x 2x 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 5x 17 = 3060

Therefore, the value for common factors is 3060.

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 = 40101177600/(2x3060)

LCM = 40101177600/6120

LCM = 6552480

Thus, we can understand that the LCM of 510,374,480,438 is 6552480.

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

• LCM of 790, 436, 666, 788
• LCM of 148, 301, 907, 456
• LCM of 596, 840, 314, 940
• LCM of 142, 808, 405, 429
• LCM of 508, 872, 995, 956

1. What is the LCM of 510, 374, 480, 438?

Answer: LCM of 510, 374, 480, 438 is 6552480.

2. How to calculate the LCM of 510, 374, 480, 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 510, 374, 480, 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}.