Given numbers are 756,398,504,321,318

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

The LCM of 756,398,504,321,318 is 1706335848.

Find LCM of 756,398,504,321,318 with Prime Factorization

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

2 x 2 x 3 x 3 x 7 x 3 x 199 x 2 x 107 x 53 = 1706335848

Therefore, the lowest common multiple of 756,398,504,321,318 is 1706335848.

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.

756 x 398 x 504 x 321 x 318 = 15479878813056

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.

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

398 : 1, 2, 199, 398

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

321 : 1, 3, 107, 321

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,398,504,321,318, is 1.

Now, the common factors can be found like this.

756:2x 2x 3x 3x 3x 7

398:2x 199

504:2x 2x 2x 3x 3x 7

321:3x 107

318:2x 3x 53

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 3x 3x 3x 7 = 9072

Therefore, the value for common factors is 9072.

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 = 15479878813056/(1x9072)

LCM = 15479878813056/9072

LCM = 1706335848

Thus, we can understand that the LCM of 756,398,504,321,318 is 1706335848.

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

• LCM of 176, 229, 230, 452, 688
• LCM of 806, 216, 520, 334, 163
• LCM of 931, 129, 503, 830, 699
• LCM of 746, 835, 470, 507, 770
• LCM of 564, 500, 798, 579, 306

1. What is the LCM of 756, 398, 504, 321, 318?

Answer: LCM of 756, 398, 504, 321, 318 is 1706335848.

2. How to calculate the LCM of 756, 398, 504, 321, 318?

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 756, 398, 504, 321, 318.

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}.