Given numbers are 460,104,950,865,938

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

The LCM of 460,104,950,865,938 is 92187859400.

Find LCM of 460,104,950,865,938 with Prime Factorization

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

2 x 2 x 5 x 23 x 26 x 95 x 173 x 469 = 92187859400

Therefore, the lowest common multiple of 460,104,950,865,938 is 92187859400.

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.

460 x 104 x 950 x 865 x 938 = 36875143760000

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

104 : 1, 2, 4, 8, 13, 26, 52, 104

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

865 : 1, 5, 173, 865

938 : 1, 2, 7, 14, 67, 134, 469, 938

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,104,950,865,938, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

104:2x 2x 2x 13

950:2x 5x 5x 19

865:5x 173

938:2x 7x 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 5x 5 = 400

Therefore, the value for common factors is 400.

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 = 36875143760000/(1x400)

LCM = 36875143760000/400

LCM = 92187859400

Thus, we can understand that the LCM of 460,104,950,865,938 is 92187859400.

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

• LCM of 117, 441, 774, 352, 775
• LCM of 911, 715, 634, 521, 818
• LCM of 708, 865, 721, 901, 125
• LCM of 965, 426, 519, 965, 912
• LCM of 282, 830, 890, 759, 610

1. What is the LCM of 460, 104, 950, 865, 938?

Answer: LCM of 460, 104, 950, 865, 938 is 92187859400.

2. How to calculate the LCM of 460, 104, 950, 865, 938?

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 460, 104, 950, 865, 938.

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}.