Given numbers are 509,382,362,479,978

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

The LCM of 509,382,362,479,978 is 8243356699218.

Find LCM of 509,382,362,479,978 with Prime Factorization

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

2 x 509 x 191 x 181 x 479 x 489 = 8243356699218

Therefore, the lowest common multiple of 509,382,362,479,978 is 8243356699218.

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.

509 x 382 x 362 x 479 x 978 = 32973426796872

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.

509 : 1, 509

382 : 1, 2, 191, 382

362 : 1, 2, 181, 362

479 : 1, 479

978 : 1, 2, 3, 6, 163, 326, 489, 978

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,382,362,479,978, is 1.

Now, the common factors can be found like this.

509:509

382:2x 191

362:2x 181

479:479

978:2x 3x 163

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 32973426796872/(1x4)

LCM = 32973426796872/4

LCM = 8243356699218

Thus, we can understand that the LCM of 509,382,362,479,978 is 8243356699218.

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

• LCM of 939, 768, 687, 341, 133
• LCM of 496, 621, 272, 202, 899
• LCM of 550, 338, 335, 277, 254
• LCM of 578, 253, 271, 837, 288
• LCM of 793, 256, 406, 146, 321

1. What is the LCM of 509, 382, 362, 479, 978?

Answer: LCM of 509, 382, 362, 479, 978 is 8243356699218.

2. How to calculate the LCM of 509, 382, 362, 479, 978?

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 509, 382, 362, 479, 978.

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}.