Given numbers are 686,448,768,958

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

The LCM of 686,448,768,958 is 126180096.

Find LCM of 686,448,768,958 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 2 x 7 x 49 x 1 x 12 x 479 = 126180096

Therefore, the lowest common multiple of 686,448,768,958 is 126180096.

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.

686 x 448 x 768 x 958 = 226114732032

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.

686 : 1, 2, 7, 14, 49, 98, 343, 686

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

958 : 1, 2, 479, 958

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 686,448,768,958, is 2.

Now, the common factors can be found like this.

686:2x 7x 7x 7

448:2x 2x 2x 2x 2x 2x 7

768:2x 2x 2x 2x 2x 2x 2x 2x 3

958:2x 479

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 2x 2x 2x 2x 7 = 896

Therefore, the value for common factors is 896.

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 = 226114732032/(2x896)

LCM = 226114732032/1792

LCM = 126180096

Thus, we can understand that the LCM of 686,448,768,958 is 126180096.

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

• LCM of 304, 269, 431, 134
• LCM of 817, 971, 978, 762
• LCM of 417, 883, 153, 197
• LCM of 596, 227, 151, 148
• LCM of 149, 333, 874, 260

1. What is the LCM of 686, 448, 768, 958?

Answer: LCM of 686, 448, 768, 958 is 126180096.

2. How to calculate the LCM of 686, 448, 768, 958?

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 686, 448, 768, 958.

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}.