Given numbers are 343,221,564,678

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

The LCM of 343,221,564,678 is 4831076796.

Find LCM of 343,221,564,678 with Prime Factorization

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

2 x 3 x 343 x 221 x 94 x 113 = 4831076796

Therefore, the lowest common multiple of 343,221,564,678 is 4831076796.

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.

343 x 221 x 564 x 678 = 28986460776

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.

343 : 1, 7, 49, 343

221 : 1, 13, 17, 221

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

678 : 1, 2, 3, 6, 113, 226, 339, 678

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,221,564,678, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

221:13x 17

564:2x 2x 3x 47

678:2x 3x 113

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 28986460776/(1x6)

LCM = 28986460776/6

LCM = 4831076796

Thus, we can understand that the LCM of 343,221,564,678 is 4831076796.

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

• LCM of 287, 932, 820, 705
• LCM of 478, 468, 601, 941
• LCM of 407, 972, 100, 979
• LCM of 761, 911, 117, 770
• LCM of 912, 624, 502, 699

1. What is the LCM of 343, 221, 564, 678?

Answer: LCM of 343, 221, 564, 678 is 4831076796.

2. How to calculate the LCM of 343, 221, 564, 678?

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 343, 221, 564, 678.

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}.