Given numbers are 508,517,781,978

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

The LCM of 508,517,781,978 is 9118459284.

Find LCM of 508,517,781,978 with Prime Factorization

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

2 x 11 x 254 x 47 x 71 x 489 = 9118459284

Therefore, the lowest common multiple of 508,517,781,978 is 9118459284.

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.

508 x 517 x 781 x 978 = 200606104248

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.

508 : 1, 2, 4, 127, 254, 508

517 : 1, 11, 47, 517

781 : 1, 11, 71, 781

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 508,517,781,978, is 1.

Now, the common factors can be found like this.

508:2x 2x 127

517:11x 47

781:11x 71

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 11 = 22

Therefore, the value for common factors is 22.

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 = 200606104248/(1x22)

LCM = 200606104248/22

LCM = 9118459284

Thus, we can understand that the LCM of 508,517,781,978 is 9118459284.

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

• LCM of 335, 622, 717, 245
• LCM of 239, 562, 907, 685
• LCM of 416, 955, 648, 747
• LCM of 551, 359, 938, 886
• LCM of 719, 359, 337, 175

1. What is the LCM of 508, 517, 781, 978?

Answer: LCM of 508, 517, 781, 978 is 9118459284.

2. How to calculate the LCM of 508, 517, 781, 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 508, 517, 781, 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}.