Given numbers are 461,164,657,950,427

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

The LCM of 461,164,657,950,427 is 10074688514100.

Find LCM of 461,164,657,950,427 with Prime Factorization

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

2 x 461 x 82 x 657 x 475 x 427 = 10074688514100

Therefore, the lowest common multiple of 461,164,657,950,427 is 10074688514100.

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.

461 x 164 x 657 x 950 x 427 = 20149377028200

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.

461 : 1, 461

164 : 1, 2, 4, 41, 82, 164

657 : 1, 3, 9, 73, 219, 657

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

427 : 1, 7, 61, 427

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,164,657,950,427, is 1.

Now, the common factors can be found like this.

461:461

164:2x 2x 41

657:3x 3x 73

950:2x 5x 5x 19

427:7x 61

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 20149377028200/(1x2)

LCM = 20149377028200/2

LCM = 10074688514100

Thus, we can understand that the LCM of 461,164,657,950,427 is 10074688514100.

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

• LCM of 640, 188, 435, 149, 788
• LCM of 595, 396, 491, 957, 396
• LCM of 492, 582, 672, 820, 954
• LCM of 623, 561, 614, 158, 263
• LCM of 541, 537, 519, 818, 335

1. What is the LCM of 461, 164, 657, 950, 427?

Answer: LCM of 461, 164, 657, 950, 427 is 10074688514100.

2. How to calculate the LCM of 461, 164, 657, 950, 427?

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 461, 164, 657, 950, 427.

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}.