Given numbers are 702,364,288,948,682

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

The LCM of 702,364,288,948,682 is 2118051936.

Find LCM of 702,364,288,948,682 with Prime Factorization

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

2 x 2 x 3 x 3 x 13 x 3 x 7 x 8 x 79 x 341 = 2118051936

Therefore, the lowest common multiple of 702,364,288,948,682 is 2118051936.

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.

702 x 364 x 288 x 948 x 682 = 47579918690304

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.

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,364,288,948,682, is 2.

Now, the common factors can be found like this.

702:2x 3x 3x 3x 13

364:2x 2x 7x 13

288:2x 2x 2x 2x 2x 3x 3

948:2x 2x 3x 79

682:2x 11x 31

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 3x 3x 3x 13 = 11232

Therefore, the value for common factors is 11232.

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 = 47579918690304/(2x11232)

LCM = 47579918690304/22464

LCM = 2118051936

Thus, we can understand that the LCM of 702,364,288,948,682 is 2118051936.

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

• LCM of 708, 162, 594, 506, 261
• LCM of 517, 967, 605, 613, 828
• LCM of 120, 392, 507, 297, 434
• LCM of 343, 929, 922, 729, 548
• LCM of 552, 890, 328, 759, 619

1. What is the LCM of 702, 364, 288, 948, 682?

Answer: LCM of 702, 364, 288, 948, 682 is 2118051936.

2. How to calculate the LCM of 702, 364, 288, 948, 682?

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 702, 364, 288, 948, 682.

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}.