Given numbers are 969,859,225,420,936

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

The LCM of 969,859,225,420,936 is 45447456600.

Find LCM of 969,859,225,420,936 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 323 x 859 x 5 x 7 x 26 = 45447456600

Therefore, the lowest common multiple of 969,859,225,420,936 is 45447456600.

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.

969 x 859 x 225 x 420 x 936 = 73624879692000

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.

969 : 1, 3, 17, 19, 51, 57, 323, 969

859 : 1, 859

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

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

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,859,225,420,936, is 1.

Now, the common factors can be found like this.

969:3x 17x 19

859:859

225:3x 3x 5x 5

420:2x 2x 3x 5x 7

936:2x 2x 2x 3x 3x 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 3x 3x 3x 3x 5 = 1620

Therefore, the value for common factors is 1620.

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 = 73624879692000/(1x1620)

LCM = 73624879692000/1620

LCM = 45447456600

Thus, we can understand that the LCM of 969,859,225,420,936 is 45447456600.

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

• LCM of 970, 533, 214, 634, 218
• LCM of 333, 844, 657, 812, 755
• LCM of 895, 961, 678, 756, 244
• LCM of 287, 293, 641, 474, 754
• LCM of 971, 333, 357, 146, 681

1. What is the LCM of 969, 859, 225, 420, 936?

Answer: LCM of 969, 859, 225, 420, 936 is 45447456600.

2. How to calculate the LCM of 969, 859, 225, 420, 936?

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 969, 859, 225, 420, 936.

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}.