Given numbers are 677,420,354,416

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

The LCM of 677,420,354,416 is 1744710240.

Find LCM of 677,420,354,416 with Prime Factorization

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

2 x 2 x 3 x 677 x 35 x 59 x 104 = 1744710240

Therefore, the lowest common multiple of 677,420,354,416 is 1744710240.

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.

677 x 420 x 354 x 416 = 41873045760

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.

677 : 1, 677

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

354 : 1, 2, 3, 6, 59, 118, 177, 354

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,420,354,416, is 1.

Now, the common factors can be found like this.

677:677

420:2x 2x 3x 5x 7

354:2x 3x 59

416:2x 2x 2x 2x 2x 13

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 3 = 24

Therefore, the value for common factors is 24.

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 = 41873045760/(1x24)

LCM = 41873045760/24

LCM = 1744710240

Thus, we can understand that the LCM of 677,420,354,416 is 1744710240.

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

• LCM of 107, 571, 135, 142
• LCM of 520, 840, 907, 831
• LCM of 558, 692, 403, 926
• LCM of 635, 880, 410, 223
• LCM of 118, 314, 517, 863

1. What is the LCM of 677, 420, 354, 416?

Answer: LCM of 677, 420, 354, 416 is 1744710240.

2. How to calculate the LCM of 677, 420, 354, 416?

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 677, 420, 354, 416.

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}.