Given numbers are 676,364,791,343,357

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

The LCM of 676,364,791,343,357 is 1336255284.

Find LCM of 676,364,791,343,357 with Prime Factorization

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

2 x 2 x 7 x 13 x 1 x 13 x 113 x 49 x 51 = 1336255284

Therefore, the lowest common multiple of 676,364,791,343,357 is 1336255284.

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.

676 x 364 x 791 x 343 x 357 = 23833449245424

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

791 : 1, 7, 113, 791

343 : 1, 7, 49, 343

357 : 1, 3, 7, 17, 21, 51, 119, 357

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,364,791,343,357, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

364:2x 2x 7x 13

791:7x 113

343:7x 7x 7

357:3x 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 7x 7x 7x 13 = 17836

Therefore, the value for common factors is 17836.

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 = 23833449245424/(1x17836)

LCM = 23833449245424/17836

LCM = 1336255284

Thus, we can understand that the LCM of 676,364,791,343,357 is 1336255284.

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

• LCM of 217, 229, 238, 454, 290
• LCM of 692, 632, 434, 165, 300
• LCM of 237, 107, 486, 152, 370
• LCM of 130, 316, 934, 185, 358
• LCM of 564, 313, 877, 960, 945

1. What is the LCM of 676, 364, 791, 343, 357?

Answer: LCM of 676, 364, 791, 343, 357 is 1336255284.

2. How to calculate the LCM of 676, 364, 791, 343, 357?

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 676, 364, 791, 343, 357.

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}.