Given numbers are 343,776,414,680

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

The LCM of 343,776,414,680 is 4683225960.

Find LCM of 343,776,414,680 with Prime Factorization

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

2 x 2 x 2 x 343 x 97 x 207 x 85 = 4683225960

Therefore, the lowest common multiple of 343,776,414,680 is 4683225960.

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 776 x 414 x 680 = 74931615360

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

776 : 1, 2, 4, 8, 97, 194, 388, 776

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,776,414,680, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

776:2x 2x 2x 97

414:2x 3x 3x 23

680:2x 2x 2x 5x 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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 74931615360/(1x16)

LCM = 74931615360/16

LCM = 4683225960

Thus, we can understand that the LCM of 343,776,414,680 is 4683225960.

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

• LCM of 538, 659, 785, 608
• LCM of 164, 992, 708, 963
• LCM of 111, 723, 513, 270
• LCM of 375, 403, 843, 345
• LCM of 402, 974, 227, 859

1. What is the LCM of 343, 776, 414, 680?

Answer: LCM of 343, 776, 414, 680 is 4683225960.

2. How to calculate the LCM of 343, 776, 414, 680?

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, 776, 414, 680.

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}.