Given numbers are 402,796,721,596,742

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

The LCM of 402,796,721,596,742 is 910975145052.

Find LCM of 402,796,721,596,742 with Prime Factorization

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

2 x 2 x 7 x 201 x 199 x 103 x 149 x 53 = 910975145052

Therefore, the lowest common multiple of 402,796,721,596,742 is 910975145052.

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.

402 x 796 x 721 x 596 x 742 = 102029216245824

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

796 : 1, 2, 4, 199, 398, 796

721 : 1, 7, 103, 721

596 : 1, 2, 4, 149, 298, 596

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 402,796,721,596,742, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

796:2x 2x 199

721:7x 103

596:2x 2x 149

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 2x 2x 7 = 112

Therefore, the value for common factors is 112.

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 = 102029216245824/(1x112)

LCM = 102029216245824/112

LCM = 910975145052

Thus, we can understand that the LCM of 402,796,721,596,742 is 910975145052.

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

• LCM of 960, 152, 712, 535, 733
• LCM of 819, 430, 704, 579, 321
• LCM of 138, 355, 862, 935, 632
• LCM of 648, 749, 819, 815, 366
• LCM of 174, 929, 378, 968, 485

1. What is the LCM of 402, 796, 721, 596, 742?

Answer: LCM of 402, 796, 721, 596, 742 is 910975145052.

2. How to calculate the LCM of 402, 796, 721, 596, 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 402, 796, 721, 596, 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}.