Given numbers are 345,492,303,822,714

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

The LCM of 345,492,303,822,714 is 93164797740.

Find LCM of 345,492,303,822,714 with Prime Factorization

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

2 x 3 x 115 x 82 x 101 x 137 x 119 = 93164797740

Therefore, the lowest common multiple of 345,492,303,822,714 is 93164797740.

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.

345 x 492 x 303 x 822 x 714 = 30185394467760

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.

345 : 1, 3, 5, 15, 23, 69, 115, 345

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

303 : 1, 3, 101, 303

822 : 1, 2, 3, 6, 137, 274, 411, 822

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,492,303,822,714, is 3.

Now, the common factors can be found like this.

345:3x 5x 23

492:2x 2x 3x 41

303:3x 101

822:2x 3x 137

714:2x 3x 7x 17

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 30185394467760/(3x108)

LCM = 30185394467760/324

LCM = 93164797740

Thus, we can understand that the LCM of 345,492,303,822,714 is 93164797740.

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

• LCM of 506, 371, 459, 276, 739
• LCM of 114, 463, 193, 208, 313
• LCM of 647, 697, 849, 517, 329
• LCM of 998, 880, 937, 617, 222
• LCM of 388, 997, 526, 829, 676

1. What is the LCM of 345, 492, 303, 822, 714?

Answer: LCM of 345, 492, 303, 822, 714 is 93164797740.

2. How to calculate the LCM of 345, 492, 303, 822, 714?

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 345, 492, 303, 822, 714.

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}.