Given numbers are 682,949,146,742

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

The LCM of 682,949,146,742 is 240117878.

Find LCM of 682,949,146,742 with Prime Factorization

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

2 x 73 x 341 x 13 x 1 x 371 = 240117878

Therefore, the lowest common multiple of 682,949,146,742 is 240117878.

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.

682 x 949 x 146 x 742 = 70114420376

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.

682 : 1, 2, 11, 22, 31, 62, 341, 682

949 : 1, 13, 73, 949

146 : 1, 2, 73, 146

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,949,146,742, is 1.

Now, the common factors can be found like this.

682:2x 11x 31

949:13x 73

146:2x 73

742:2x 7x 53

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 73 = 292

Therefore, the value for common factors is 292.

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 = 70114420376/(1x292)

LCM = 70114420376/292

LCM = 240117878

Thus, we can understand that the LCM of 682,949,146,742 is 240117878.

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

• LCM of 745, 678, 426, 676
• LCM of 327, 473, 596, 560
• LCM of 792, 835, 833, 796
• LCM of 996, 720, 396, 834
• LCM of 585, 773, 164, 938

1. What is the LCM of 682, 949, 146, 742?

Answer: LCM of 682, 949, 146, 742 is 240117878.

2. How to calculate the LCM of 682, 949, 146, 742?

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 682, 949, 146, 742.

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}.