Given numbers are 628,690,168,652,314

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

The LCM of 628,690,168,652,314 is 494418120.

Find LCM of 628,690,168,652,314 with Prime Factorization

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

2 x 2 x 3 x 157 x 1 x 115 x 14 x 163 x 1 = 494418120

Therefore, the lowest common multiple of 628,690,168,652,314 is 494418120.

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.

628 x 690 x 168 x 652 x 314 = 14903739809280

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.

628 : 1, 2, 4, 157, 314, 628

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

652 : 1, 2, 4, 163, 326, 652

314 : 1, 2, 157, 314

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,690,168,652,314, is 2.

Now, the common factors can be found like this.

628:2x 2x 157

690:2x 3x 5x 23

168:2x 2x 2x 3x 7

652:2x 2x 163

314:2x 157

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 2x 3x 157 = 15072

Therefore, the value for common factors is 15072.

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 = 14903739809280/(2x15072)

LCM = 14903739809280/30144

LCM = 494418120

Thus, we can understand that the LCM of 628,690,168,652,314 is 494418120.

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

• LCM of 850, 891, 419, 956, 804
• LCM of 955, 770, 184, 700, 721
• LCM of 131, 771, 404, 898, 954
• LCM of 793, 184, 243, 616, 761
• LCM of 978, 778, 188, 975, 568

1. What is the LCM of 628, 690, 168, 652, 314?

Answer: LCM of 628, 690, 168, 652, 314 is 494418120.

2. How to calculate the LCM of 628, 690, 168, 652, 314?

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 628, 690, 168, 652, 314.

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}.