Given numbers are 310,978,796,938,409

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

The LCM of 310,978,796,938,409 is 11573101865220.

Find LCM of 310,978,796,938,409 with Prime Factorization

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

2 x 155 x 489 x 398 x 469 x 409 = 11573101865220

Therefore, the lowest common multiple of 310,978,796,938,409 is 11573101865220.

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.

310 x 978 x 796 x 938 x 409 = 92584814921760

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.

310 : 1, 2, 5, 10, 31, 62, 155, 310

978 : 1, 2, 3, 6, 163, 326, 489, 978

796 : 1, 2, 4, 199, 398, 796

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

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,978,796,938,409, is 1.

Now, the common factors can be found like this.

310:2x 5x 31

978:2x 3x 163

796:2x 2x 199

938:2x 7x 67

409:409

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 2 = 8

Therefore, the value for common factors is 8.

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 = 92584814921760/(1x8)

LCM = 92584814921760/8

LCM = 11573101865220

Thus, we can understand that the LCM of 310,978,796,938,409 is 11573101865220.

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

• LCM of 934, 373, 744, 820, 160
• LCM of 274, 935, 465, 766, 200
• LCM of 484, 462, 953, 592, 767
• LCM of 318, 128, 640, 757, 769
• LCM of 848, 946, 691, 806, 949

1. What is the LCM of 310, 978, 796, 938, 409?

Answer: LCM of 310, 978, 796, 938, 409 is 11573101865220.

2. How to calculate the LCM of 310, 978, 796, 938, 409?

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 310, 978, 796, 938, 409.

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}.