Given numbers are 506,554,948,138,147

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

The LCM of 506,554,948,138,147 is 3255402612.

Find LCM of 506,554,948,138,147 with Prime Factorization

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

2 x 3 x 23 x 11 x 277 x 158 x 1 x 49 = 3255402612

Therefore, the lowest common multiple of 506,554,948,138,147 is 3255402612.

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.

506 x 554 x 948 x 138 x 147 = 5390946725472

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.

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

554 : 1, 2, 277, 554

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

138 : 1, 2, 3, 6, 23, 46, 69, 138

147 : 1, 3, 7, 21, 49, 147

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,554,948,138,147, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

554:2x 277

948:2x 2x 3x 79

138:2x 3x 23

147:3x 7x 7

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 3x 3x 23 = 1656

Therefore, the value for common factors is 1656.

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 = 5390946725472/(1x1656)

LCM = 5390946725472/1656

LCM = 3255402612

Thus, we can understand that the LCM of 506,554,948,138,147 is 3255402612.

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

• LCM of 958, 179, 105, 699, 568
• LCM of 246, 208, 193, 121, 329
• LCM of 169, 750, 204, 614, 378
• LCM of 357, 390, 597, 544, 297
• LCM of 469, 264, 274, 944, 713

1. What is the LCM of 506, 554, 948, 138, 147?

Answer: LCM of 506, 554, 948, 138, 147 is 3255402612.

2. How to calculate the LCM of 506, 554, 948, 138, 147?

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 506, 554, 948, 138, 147.

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}.