Given numbers are 948,461,988,420,728

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

The LCM of 948,461,988,420,728 is 7556214120.

Find LCM of 948,461,988,420,728 with Prime Factorization

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

2 x 2 x 3 x 7 x 13 x 79 x 461 x 19 x 5 x 2 = 7556214120

Therefore, the lowest common multiple of 948,461,988,420,728 is 7556214120.

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.

948 x 461 x 988 x 420 x 728 = 132022173104640

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.

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

461 : 1, 461

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,461,988,420,728, is 1.

Now, the common factors can be found like this.

948:2x 2x 3x 79

461:461

988:2x 2x 13x 19

420:2x 2x 3x 5x 7

728:2x 2x 2x 7x 13

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 2x 2x 2x 3x 7x 13 = 17472

Therefore, the value for common factors is 17472.

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 = 132022173104640/(1x17472)

LCM = 132022173104640/17472

LCM = 7556214120

Thus, we can understand that the LCM of 948,461,988,420,728 is 7556214120.

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

• LCM of 612, 956, 255, 836, 716
• LCM of 110, 772, 668, 492, 320
• LCM of 904, 708, 207, 212, 926
• LCM of 809, 740, 790, 613, 820
• LCM of 986, 584, 881, 841, 626

1. What is the LCM of 948, 461, 988, 420, 728?

Answer: LCM of 948, 461, 988, 420, 728 is 7556214120.

2. How to calculate the LCM of 948, 461, 988, 420, 728?

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 948, 461, 988, 420, 728.

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}.