Given numbers are 688,542,118,792

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

The LCM of 688,542,118,792 is 1089042768.

Find LCM of 688,542,118,792 with Prime Factorization

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

2 x 2 x 2 x 86 x 271 x 59 x 99 = 1089042768

Therefore, the lowest common multiple of 688,542,118,792 is 1089042768.

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 542 x 118 x 792 = 34849368576

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

542 : 1, 2, 271, 542

118 : 1, 2, 59, 118

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,542,118,792, is 2.

Now, the common factors can be found like this.

688:2x 2x 2x 2x 43

542:2x 271

118:2x 59

792:2x 2x 2x 3x 3x 11

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 2 = 16

Therefore, the value for common factors is 16.

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 = 34849368576/(2x16)

LCM = 34849368576/32

LCM = 1089042768

Thus, we can understand that the LCM of 688,542,118,792 is 1089042768.

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

• LCM of 204, 734, 450, 694
• LCM of 464, 982, 690, 953
• LCM of 618, 200, 728, 523
• LCM of 442, 765, 915, 635
• LCM of 705, 359, 105, 577

1. What is the LCM of 688, 542, 118, 792?

Answer: LCM of 688, 542, 118, 792 is 1089042768.

2. How to calculate the LCM of 688, 542, 118, 792?

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, 542, 118, 792.

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}.