Given numbers are 504,992,386,968,562

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

The LCM of 504,992,386,968,562 is 410110813728.

Find LCM of 504,992,386,968,562 with Prime Factorization

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

2 x 2 x 2 x 63 x 124 x 193 x 121 x 281 = 410110813728

Therefore, the lowest common multiple of 504,992,386,968,562 is 410110813728.

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.

504 x 992 x 386 x 968 x 562 = 104988368314368

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.

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

386 : 1, 2, 193, 386

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

562 : 1, 2, 281, 562

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,992,386,968,562, is 2.

Now, the common factors can be found like this.

504:2x 2x 2x 3x 3x 7

992:2x 2x 2x 2x 2x 31

386:2x 193

968:2x 2x 2x 11x 11

562:2x 281

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 2x 2x 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 104988368314368/(2x128)

LCM = 104988368314368/256

LCM = 410110813728

Thus, we can understand that the LCM of 504,992,386,968,562 is 410110813728.

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

• LCM of 613, 240, 963, 715, 672
• LCM of 484, 417, 601, 120, 355
• LCM of 981, 197, 695, 599, 141
• LCM of 920, 819, 230, 875, 992
• LCM of 797, 421, 143, 212, 661

1. What is the LCM of 504, 992, 386, 968, 562?

Answer: LCM of 504, 992, 386, 968, 562 is 410110813728.

2. How to calculate the LCM of 504, 992, 386, 968, 562?

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 504, 992, 386, 968, 562.

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}.