Given numbers are 318,780,146,364,190

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

The LCM of 318,780,146,364,190 is 401370060.

Find LCM of 318,780,146,364,190 with Prime Factorization

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

2 x 2 x 3 x 5 x 13 x 53 x 1 x 73 x 7 x 19 = 401370060

Therefore, the lowest common multiple of 318,780,146,364,190 is 401370060.

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.

318 x 780 x 146 x 364 x 190 = 2504549174400

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.

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

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

146 : 1, 2, 73, 146

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

190 : 1, 2, 5, 10, 19, 38, 95, 190

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,780,146,364,190, is 2.

Now, the common factors can be found like this.

318:2x 3x 53

780:2x 2x 3x 5x 13

146:2x 73

364:2x 2x 7x 13

190:2x 5x 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 2x 3x 5x 13 = 3120

Therefore, the value for common factors is 3120.

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 = 2504549174400/(2x3120)

LCM = 2504549174400/6240

LCM = 401370060

Thus, we can understand that the LCM of 318,780,146,364,190 is 401370060.

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

• LCM of 289, 847, 742, 576, 649
• LCM of 411, 406, 858, 376, 588
• LCM of 552, 984, 863, 810, 799
• LCM of 309, 384, 939, 329, 268
• LCM of 365, 233, 538, 937, 393

1. What is the LCM of 318, 780, 146, 364, 190?

Answer: LCM of 318, 780, 146, 364, 190 is 401370060.

2. How to calculate the LCM of 318, 780, 146, 364, 190?

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 318, 780, 146, 364, 190.

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}.