Given numbers are 688,942,348,610,876

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

The LCM of 688,942,348,610,876 is 209232932880.

Find LCM of 688,942,348,610,876 with Prime Factorization

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

2 x 2 x 3 x 172 x 157 x 29 x 305 x 73 = 209232932880

Therefore, the lowest common multiple of 688,942,348,610,876 is 209232932880.

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 942 x 348 x 610 x 876 = 120518169338880

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

942 : 1, 2, 3, 6, 157, 314, 471, 942

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

610 : 1, 2, 5, 10, 61, 122, 305, 610

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,942,348,610,876, is 2.

Now, the common factors can be found like this.

688:2x 2x 2x 2x 43

942:2x 3x 157

348:2x 2x 3x 29

610:2x 5x 61

876:2x 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 2x 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 120518169338880/(2x288)

LCM = 120518169338880/576

LCM = 209232932880

Thus, we can understand that the LCM of 688,942,348,610,876 is 209232932880.

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

• LCM of 259, 960, 134, 658, 681
• LCM of 554, 308, 428, 920, 493
• LCM of 907, 631, 617, 708, 443
• LCM of 854, 738, 344, 442, 783
• LCM of 336, 305, 435, 945, 153

1. What is the LCM of 688, 942, 348, 610, 876?

Answer: LCM of 688, 942, 348, 610, 876 is 209232932880.

2. How to calculate the LCM of 688, 942, 348, 610, 876?

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, 942, 348, 610, 876.

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}.