Given numbers are 905,924,126,728

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

The LCM of 905,924,126,728 is 65225160.

Find LCM of 905,924,126,728 with Prime Factorization

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

2 x 2 x 3 x 7 x 905 x 11 x 3 x 26 = 65225160

Therefore, the lowest common multiple of 905,924,126,728 is 65225160.

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.

905 x 924 x 126 x 728 = 76704788160

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.

905 : 1, 5, 181, 905

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

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 905,924,126,728, is 1.

Now, the common factors can be found like this.

905:5x 181

924:2x 2x 3x 7x 11

126:2x 3x 3x 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 3x 7x 7 = 1176

Therefore, the value for common factors is 1176.

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 = 76704788160/(1x1176)

LCM = 76704788160/1176

LCM = 65225160

Thus, we can understand that the LCM of 905,924,126,728 is 65225160.

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

• LCM of 391, 518, 430, 526
• LCM of 753, 678, 417, 133
• LCM of 419, 185, 795, 400
• LCM of 956, 111, 952, 651
• LCM of 789, 532, 100, 476

1. What is the LCM of 905, 924, 126, 728?

Answer: LCM of 905, 924, 126, 728 is 65225160.

2. How to calculate the LCM of 905, 924, 126, 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 905, 924, 126, 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}.