Given numbers are 683,880,420,314

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

The LCM of 683,880,420,314 is 1981628880.

Find LCM of 683,880,420,314 with Prime Factorization

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

2 x 2 x 5 x 683 x 44 x 21 x 157 = 1981628880

Therefore, the lowest common multiple of 683,880,420,314 is 1981628880.

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.

683 x 880 x 420 x 314 = 79265155200

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.

683 : 1, 683

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 683,880,420,314, is 1.

Now, the common factors can be found like this.

683:683

880:2x 2x 2x 2x 5x 11

420:2x 2x 3x 5x 7

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 5 = 40

Therefore, the value for common factors is 40.

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 = 79265155200/(1x40)

LCM = 79265155200/40

LCM = 1981628880

Thus, we can understand that the LCM of 683,880,420,314 is 1981628880.

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

• LCM of 543, 731, 865, 308
• LCM of 615, 747, 976, 723
• LCM of 788, 735, 382, 915
• LCM of 121, 720, 552, 230
• LCM of 781, 820, 871, 730

1. What is the LCM of 683, 880, 420, 314?

Answer: LCM of 683, 880, 420, 314 is 1981628880.

2. How to calculate the LCM of 683, 880, 420, 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 683, 880, 420, 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}.