Given numbers are 688,242,341,306,969

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

The LCM of 688,242,341,306,969 is 7502060016.

Find LCM of 688,242,341,306,969 with Prime Factorization

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

2 x 3 x 11 x 17 x 344 x 11 x 31 x 3 x 19 = 7502060016

Therefore, the lowest common multiple of 688,242,341,306,969 is 7502060016.

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 242 x 341 x 306 x 969 = 16834622675904

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

242 : 1, 2, 11, 22, 121, 242

341 : 1, 11, 31, 341

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

969 : 1, 3, 17, 19, 51, 57, 323, 969

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,242,341,306,969, is 1.

Now, the common factors can be found like this.

688:2x 2x 2x 2x 43

242:2x 11x 11

341:11x 31

306:2x 3x 3x 17

969:3x 17x 19

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 3x 11x 17 = 2244

Therefore, the value for common factors is 2244.

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 = 16834622675904/(1x2244)

LCM = 16834622675904/2244

LCM = 7502060016

Thus, we can understand that the LCM of 688,242,341,306,969 is 7502060016.

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

• LCM of 788, 619, 641, 865, 329
• LCM of 376, 980, 731, 590, 504
• LCM of 186, 281, 372, 830, 999
• LCM of 898, 705, 624, 452, 759
• LCM of 338, 849, 649, 610, 230

1. What is the LCM of 688, 242, 341, 306, 969?

Answer: LCM of 688, 242, 341, 306, 969 is 7502060016.

2. How to calculate the LCM of 688, 242, 341, 306, 969?

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, 242, 341, 306, 969.

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}.