Given numbers are 977,788,578,402,614

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

The LCM of 977,788,578,402,614 is 13729447377948.

Find LCM of 977,788,578,402,614 with Prime Factorization

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

2 x 977 x 394 x 289 x 201 x 307 = 13729447377948

Therefore, the lowest common multiple of 977,788,578,402,614 is 13729447377948.

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 788 x 578 x 402 x 614 = 109835579023584

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

788 : 1, 2, 4, 197, 394, 788

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

402 : 1, 2, 3, 6, 67, 134, 201, 402

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 977,788,578,402,614, is 1.

Now, the common factors can be found like this.

977:977

788:2x 2x 197

578:2x 17x 17

402:2x 3x 67

614:2x 307

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 2 = 8

Therefore, the value for common factors is 8.

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 = 109835579023584/(1x8)

LCM = 109835579023584/8

LCM = 13729447377948

Thus, we can understand that the LCM of 977,788,578,402,614 is 13729447377948.

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

• LCM of 446, 971, 294, 378, 945
• LCM of 670, 514, 666, 571, 772
• LCM of 169, 200, 557, 766, 557
• LCM of 743, 404, 343, 915, 666
• LCM of 733, 473, 181, 366, 949

1. What is the LCM of 977, 788, 578, 402, 614?

Answer: LCM of 977, 788, 578, 402, 614 is 13729447377948.

2. How to calculate the LCM of 977, 788, 578, 402, 614?

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, 788, 578, 402, 614.

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}.