Given numbers are 977,578,754,497,356

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

The LCM of 977,578,754,497,356 is 18833894935492.

Find LCM of 977,578,754,497,356 with Prime Factorization

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

2 x 977 x 289 x 377 x 497 x 178 = 18833894935492

Therefore, the lowest common multiple of 977,578,754,497,356 is 18833894935492.

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.

977 x 578 x 754 x 497 x 356 = 75335579741968

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.

977 : 1, 977

578 : 1, 2, 17, 34, 289, 578

754 : 1, 2, 13, 26, 29, 58, 377, 754

497 : 1, 7, 71, 497

356 : 1, 2, 4, 89, 178, 356

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 977,578,754,497,356, is 1.

Now, the common factors can be found like this.

977:977

578:2x 17x 17

754:2x 13x 29

497:7x 71

356:2x 2x 89

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 75335579741968/(1x4)

LCM = 75335579741968/4

LCM = 18833894935492

Thus, we can understand that the LCM of 977,578,754,497,356 is 18833894935492.

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

• LCM of 901, 678, 375, 776, 566
• LCM of 721, 251, 601, 245, 761
• LCM of 814, 263, 515, 355, 980
• LCM of 719, 625, 460, 783, 847
• LCM of 727, 193, 392, 379, 637

1. What is the LCM of 977, 578, 754, 497, 356?

Answer: LCM of 977, 578, 754, 497, 356 is 18833894935492.

2. How to calculate the LCM of 977, 578, 754, 497, 356?

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 977, 578, 754, 497, 356.

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}.