Given numbers are 688,602,146,138

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

The LCM of 688,602,146,138 is 24258192.

Find LCM of 688,602,146,138 with Prime Factorization

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

2 x 43 x 8 x 7 x 73 x 69 = 24258192

Therefore, the lowest common multiple of 688,602,146,138 is 24258192.

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.

688 x 602 x 146 x 138 = 8344818048

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.

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

602 : 1, 2, 7, 14, 43, 86, 301, 602

146 : 1, 2, 73, 146

138 : 1, 2, 3, 6, 23, 46, 69, 138

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,602,146,138, is 2.

Now, the common factors can be found like this.

688:2x 2x 2x 2x 43

602:2x 7x 43

146:2x 73

138:2x 3x 23

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 43 = 172

Therefore, the value for common factors is 172.

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 = 8344818048/(2x172)

LCM = 8344818048/344

LCM = 24258192

Thus, we can understand that the LCM of 688,602,146,138 is 24258192.

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

• LCM of 841, 266, 861, 606
• LCM of 656, 764, 143, 291
• LCM of 730, 391, 949, 762
• LCM of 657, 218, 139, 756
• LCM of 843, 551, 920, 576

1. What is the LCM of 688, 602, 146, 138?

Answer: LCM of 688, 602, 146, 138 is 24258192.

2. How to calculate the LCM of 688, 602, 146, 138?

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 688, 602, 146, 138.

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}.