Given numbers are 516,248,122,171,399

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

The LCM of 516,248,122,171,399 is 778653288.

Find LCM of 516,248,122,171,399 with Prime Factorization

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

2 x 2 x 3 x 19 x 43 x 62 x 61 x 3 x 7 = 778653288

Therefore, the lowest common multiple of 516,248,122,171,399 is 778653288.

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.

516 x 248 x 122 x 171 x 399 = 1065197697984

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.

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

248 : 1, 2, 4, 8, 31, 62, 124, 248

122 : 1, 2, 61, 122

171 : 1, 3, 9, 19, 57, 171

399 : 1, 3, 7, 19, 21, 57, 133, 399

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,248,122,171,399, is 1.

Now, the common factors can be found like this.

516:2x 2x 3x 43

248:2x 2x 2x 31

122:2x 61

171:3x 3x 19

399:3x 7x 19

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 19 = 1368

Therefore, the value for common factors is 1368.

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 = 1065197697984/(1x1368)

LCM = 1065197697984/1368

LCM = 778653288

Thus, we can understand that the LCM of 516,248,122,171,399 is 778653288.

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

• LCM of 427, 928, 500, 574, 363
• LCM of 769, 185, 789, 829, 562
• LCM of 798, 470, 724, 452, 627
• LCM of 523, 606, 483, 932, 759
• LCM of 294, 735, 319, 707, 862

1. What is the LCM of 516, 248, 122, 171, 399?

Answer: LCM of 516, 248, 122, 171, 399 is 778653288.

2. How to calculate the LCM of 516, 248, 122, 171, 399?

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 516, 248, 122, 171, 399.

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}.