Given numbers are 684,343,121,208

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

The LCM of 684,343,121,208 is 1476178704.

Find LCM of 684,343,121,208 with Prime Factorization

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

2 x 2 x 171 x 343 x 121 x 52 = 1476178704

Therefore, the lowest common multiple of 684,343,121,208 is 1476178704.

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.

684 x 343 x 121 x 208 = 5904714816

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.

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

343 : 1, 7, 49, 343

121 : 1, 11, 121

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,343,121,208, is 1.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

343:7x 7x 7

121:11x 11

208:2x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 5904714816/(1x4)

LCM = 5904714816/4

LCM = 1476178704

Thus, we can understand that the LCM of 684,343,121,208 is 1476178704.

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

• LCM of 726, 347, 474, 227
• LCM of 149, 901, 720, 509
• LCM of 947, 658, 829, 829
• LCM of 269, 446, 908, 968
• LCM of 742, 979, 751, 920

1. What is the LCM of 684, 343, 121, 208?

Answer: LCM of 684, 343, 121, 208 is 1476178704.

2. How to calculate the LCM of 684, 343, 121, 208?

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 684, 343, 121, 208.

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}.