Given numbers are 696,420,181,924

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

The LCM of 696,420,181,924 is 48500760.

Find LCM of 696,420,181,924 with Prime Factorization

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

2 x 2 x 3 x 7 x 58 x 5 x 181 x 11 = 48500760

Therefore, the lowest common multiple of 696,420,181,924 is 48500760.

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.

696 x 420 x 181 x 924 = 48888766080

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.

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

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

181 : 1, 181

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 696,420,181,924, is 1.

Now, the common factors can be found like this.

696:2x 2x 2x 3x 29

420:2x 2x 3x 5x 7

181:181

924:2x 2x 3x 7x 11

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 3x 3x 7 = 1008

Therefore, the value for common factors is 1008.

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 = 48888766080/(1x1008)

LCM = 48888766080/1008

LCM = 48500760

Thus, we can understand that the LCM of 696,420,181,924 is 48500760.

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

• LCM of 992, 724, 896, 859
• LCM of 667, 874, 678, 684
• LCM of 545, 245, 936, 397
• LCM of 785, 154, 809, 415
• LCM of 710, 459, 877, 503

1. What is the LCM of 696, 420, 181, 924?

Answer: LCM of 696, 420, 181, 924 is 48500760.

2. How to calculate the LCM of 696, 420, 181, 924?

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 696, 420, 181, 924.

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}.