Given numbers are 684,506,104,134

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

The LCM of 684,506,104,134 is 301456584.

Find LCM of 684,506,104,134 with Prime Factorization

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

2 x 2 x 171 x 253 x 26 x 67 = 301456584

Therefore, the lowest common multiple of 684,506,104,134 is 301456584.

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 506 x 104 x 134 = 4823305344

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

506 : 1, 2, 11, 22, 23, 46, 253, 506

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

134 : 1, 2, 67, 134

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,506,104,134, is 2.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

506:2x 11x 23

104:2x 2x 2x 13

134:2x 67

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 2 = 8

Therefore, the value for common factors is 8.

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 = 4823305344/(2x8)

LCM = 4823305344/16

LCM = 301456584

Thus, we can understand that the LCM of 684,506,104,134 is 301456584.

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

• LCM of 456, 297, 533, 960
• LCM of 637, 718, 997, 570
• LCM of 125, 491, 835, 245
• LCM of 958, 227, 742, 651
• LCM of 147, 452, 440, 171

1. What is the LCM of 684, 506, 104, 134?

Answer: LCM of 684, 506, 104, 134 is 301456584.

2. How to calculate the LCM of 684, 506, 104, 134?

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, 506, 104, 134.

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}.