Given numbers are 702,136,897,828,438

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

The LCM of 702,136,897,828,438 is 80148744.

Find LCM of 702,136,897,828,438 with Prime Factorization

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

2 x 2 x 3 x 3 x 13 x 23 x 3 x 34 x 1 x 1 x 73 = 80148744

Therefore, the lowest common multiple of 702,136,897,828,438 is 80148744.

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 136 x 897 x 828 x 438 = 31057958894976

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

136 : 1, 2, 4, 8, 17, 34, 68, 136

897 : 1, 3, 13, 23, 39, 69, 299, 897

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,136,897,828,438, is 1.

Now, the common factors can be found like this.

702:2x 3x 3x 3x 13

136:2x 2x 2x 17

897:3x 13x 23

828:2x 2x 3x 3x 23

438:2x 3x 73

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 3x 3x 3x 3x 13x 23 = 387504

Therefore, the value for common factors is 387504.

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 = 31057958894976/(1x387504)

LCM = 31057958894976/387504

LCM = 80148744

Thus, we can understand that the LCM of 702,136,897,828,438 is 80148744.

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

• LCM of 343, 147, 446, 220, 163
• LCM of 838, 583, 714, 450, 313
• LCM of 200, 503, 868, 278, 308
• LCM of 458, 998, 449, 709, 649
• LCM of 438, 515, 635, 422, 564

1. What is the LCM of 702, 136, 897, 828, 438?

Answer: LCM of 702, 136, 897, 828, 438 is 80148744.

2. How to calculate the LCM of 702, 136, 897, 828, 438?

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, 136, 897, 828, 438.

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}.