Given numbers are 420,276,952,804

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

The LCM of 420,276,952,804 is 22005480.

Find LCM of 420,276,952,804 with Prime Factorization

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

2 x 2 x 3 x 7 x 5 x 23 x 34 x 67 = 22005480

Therefore, the lowest common multiple of 420,276,952,804 is 22005480.

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.

420 x 276 x 952 x 804 = 88726095360

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.

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

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,276,952,804, is 4.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

276:2x 2x 3x 23

952:2x 2x 2x 7x 17

804:2x 2x 3x 67

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 = 88726095360/(4x1008)

LCM = 88726095360/4032

LCM = 22005480

Thus, we can understand that the LCM of 420,276,952,804 is 22005480.

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

• LCM of 734, 610, 291, 529
• LCM of 177, 461, 854, 838
• LCM of 399, 748, 180, 371
• LCM of 813, 766, 602, 832
• LCM of 450, 976, 287, 153

1. What is the LCM of 420, 276, 952, 804?

Answer: LCM of 420, 276, 952, 804 is 22005480.

2. How to calculate the LCM of 420, 276, 952, 804?

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 420, 276, 952, 804.

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}.