Given numbers are 682,706,542,742

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

The LCM of 682,706,542,742 is 24204843586.

Find LCM of 682,706,542,742 with Prime Factorization

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

2 x 341 x 353 x 271 x 371 = 24204843586

Therefore, the lowest common multiple of 682,706,542,742 is 24204843586.

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 706 x 542 x 742 = 193638748688

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

706 : 1, 2, 353, 706

542 : 1, 2, 271, 542

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,706,542,742, is 2.

Now, the common factors can be found like this.

682:2x 11x 31

706:2x 353

542:2x 271

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 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 = 193638748688/(2x4)

LCM = 193638748688/8

LCM = 24204843586

Thus, we can understand that the LCM of 682,706,542,742 is 24204843586.

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

• LCM of 960, 691, 936, 569
• LCM of 980, 432, 270, 420
• LCM of 148, 573, 166, 798
• LCM of 781, 318, 669, 102
• LCM of 458, 967, 570, 654

1. What is the LCM of 682, 706, 542, 742?

Answer: LCM of 682, 706, 542, 742 is 24204843586.

2. How to calculate the LCM of 682, 706, 542, 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, 706, 542, 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}.