Given numbers are 488,772,982,746,461

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

The LCM of 488,772,982,746,461 is 7951853683832.

Find LCM of 488,772,982,746,461 with Prime Factorization

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

2 x 2 x 122 x 193 x 491 x 373 x 461 = 7951853683832

Therefore, the lowest common multiple of 488,772,982,746,461 is 7951853683832.

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.

488 x 772 x 982 x 746 x 461 = 127229658941312

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.

488 : 1, 2, 4, 8, 61, 122, 244, 488

772 : 1, 2, 4, 193, 386, 772

982 : 1, 2, 491, 982

746 : 1, 2, 373, 746

461 : 1, 461

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,772,982,746,461, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

772:2x 2x 193

982:2x 491

746:2x 373

461:461

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 2 = 16

Therefore, the value for common factors is 16.

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 = 127229658941312/(1x16)

LCM = 127229658941312/16

LCM = 7951853683832

Thus, we can understand that the LCM of 488,772,982,746,461 is 7951853683832.

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

• LCM of 300, 205, 844, 371, 350
• LCM of 125, 894, 477, 402, 632
• LCM of 673, 591, 973, 130, 315
• LCM of 526, 231, 917, 980, 744
• LCM of 905, 968, 762, 770, 487

1. What is the LCM of 488, 772, 982, 746, 461?

Answer: LCM of 488, 772, 982, 746, 461 is 7951853683832.

2. How to calculate the LCM of 488, 772, 982, 746, 461?

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 488, 772, 982, 746, 461.

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}.