Given numbers are 460,338,958,694

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

The LCM of 460,338,958,694 is 12921398620.

Find LCM of 460,338,958,694 with Prime Factorization

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

2 x 230 x 169 x 479 x 347 = 12921398620

Therefore, the lowest common multiple of 460,338,958,694 is 12921398620.

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.

460 x 338 x 958 x 694 = 103371188960

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

338 : 1, 2, 13, 26, 169, 338

958 : 1, 2, 479, 958

694 : 1, 2, 347, 694

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,338,958,694, is 2.

Now, the common factors can be found like this.

460:2x 2x 5x 23

338:2x 13x 13

958:2x 479

694:2x 347

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 = 103371188960/(2x4)

LCM = 103371188960/8

LCM = 12921398620

Thus, we can understand that the LCM of 460,338,958,694 is 12921398620.

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

• LCM of 908, 577, 889, 279
• LCM of 342, 106, 426, 890
• LCM of 228, 492, 390, 339
• LCM of 831, 888, 472, 940
• LCM of 607, 298, 673, 635

1. What is the LCM of 460, 338, 958, 694?

Answer: LCM of 460, 338, 958, 694 is 12921398620.

2. How to calculate the LCM of 460, 338, 958, 694?

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 460, 338, 958, 694.

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}.