Given numbers are 688,254,977,508,991

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

The LCM of 688,254,977,508,991 is 84598054832.

Find LCM of 688,254,977,508,991 with Prime Factorization

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

2 x 2 x 127 x 172 x 1 x 977 x 1 x 991 = 84598054832

Therefore, the lowest common multiple of 688,254,977,508,991 is 84598054832.

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 254 x 977 x 508 x 991 = 85951623709312

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

254 : 1, 2, 127, 254

977 : 1, 977

508 : 1, 2, 4, 127, 254, 508

991 : 1, 991

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,254,977,508,991, is 1.

Now, the common factors can be found like this.

688:2x 2x 2x 2x 43

254:2x 127

977:977

508:2x 2x 127

991:991

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 127 = 1016

Therefore, the value for common factors is 1016.

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 = 85951623709312/(1x1016)

LCM = 85951623709312/1016

LCM = 84598054832

Thus, we can understand that the LCM of 688,254,977,508,991 is 84598054832.

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

• LCM of 884, 118, 880, 672, 439
• LCM of 188, 683, 469, 667, 746
• LCM of 333, 559, 621, 550, 862
• LCM of 706, 962, 147, 657, 362
• LCM of 882, 512, 919, 443, 490

1. What is the LCM of 688, 254, 977, 508, 991?

Answer: LCM of 688, 254, 977, 508, 991 is 84598054832.

2. How to calculate the LCM of 688, 254, 977, 508, 991?

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, 254, 977, 508, 991.

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}.