Given numbers are 544,506,398,748,958

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

The LCM of 544,506,398,748,958 is 13119219872.

Find LCM of 544,506,398,748,958 with Prime Factorization

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

2 x 2 x 11 x 17 x 8 x 23 x 199 x 1 x 479 = 13119219872

Therefore, the lowest common multiple of 544,506,398,748,958 is 13119219872.

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.

544 x 506 x 398 x 748 x 958 = 78505411714048

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.

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

506 : 1, 2, 11, 22, 23, 46, 253, 506

398 : 1, 2, 199, 398

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

958 : 1, 2, 479, 958

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,506,398,748,958, is 2.

Now, the common factors can be found like this.

544:2x 2x 2x 2x 2x 17

506:2x 11x 23

398:2x 199

748:2x 2x 11x 17

958:2x 479

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 11x 17 = 2992

Therefore, the value for common factors is 2992.

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 = 78505411714048/(2x2992)

LCM = 78505411714048/5984

LCM = 13119219872

Thus, we can understand that the LCM of 544,506,398,748,958 is 13119219872.

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

• LCM of 563, 819, 388, 328, 801
• LCM of 751, 433, 780, 742, 168
• LCM of 444, 490, 171, 758, 904
• LCM of 401, 649, 658, 794, 933
• LCM of 776, 964, 440, 544, 128

1. What is the LCM of 544, 506, 398, 748, 958?

Answer: LCM of 544, 506, 398, 748, 958 is 13119219872.

2. How to calculate the LCM of 544, 506, 398, 748, 958?

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 544, 506, 398, 748, 958.

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}.