Given numbers are 302,318,840,334,516

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

The LCM of 302,318,840,334,516 is 48274416120.

Find LCM of 302,318,840,334,516 with Prime Factorization

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

2 x 2 x 3 x 151 x 53 x 70 x 167 x 43 = 48274416120

Therefore, the lowest common multiple of 302,318,840,334,516 is 48274416120.

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.

302 x 318 x 840 x 334 x 516 = 13903031842560

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.

302 : 1, 2, 151, 302

318 : 1, 2, 3, 6, 53, 106, 159, 318

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

334 : 1, 2, 167, 334

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,318,840,334,516, is 2.

Now, the common factors can be found like this.

302:2x 151

318:2x 3x 53

840:2x 2x 2x 3x 5x 7

334:2x 167

516:2x 2x 3x 43

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 13903031842560/(2x144)

LCM = 13903031842560/288

LCM = 48274416120

Thus, we can understand that the LCM of 302,318,840,334,516 is 48274416120.

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

• LCM of 933, 742, 256, 164, 965
• LCM of 929, 673, 248, 423, 525
• LCM of 347, 651, 787, 520, 401
• LCM of 820, 590, 386, 591, 859
• LCM of 951, 824, 575, 851, 777

1. What is the LCM of 302, 318, 840, 334, 516?

Answer: LCM of 302, 318, 840, 334, 516 is 48274416120.

2. How to calculate the LCM of 302, 318, 840, 334, 516?

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 302, 318, 840, 334, 516.

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}.