Given numbers are 314,290,646,947

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

The LCM of 314,290,646,947 is 13926761930.

Find LCM of 314,290,646,947 with Prime Factorization

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

2 x 157 x 145 x 323 x 947 = 13926761930

Therefore, the lowest common multiple of 314,290,646,947 is 13926761930.

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.

314 x 290 x 646 x 947 = 55707047720

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.

314 : 1, 2, 157, 314

290 : 1, 2, 5, 10, 29, 58, 145, 290

646 : 1, 2, 17, 19, 34, 38, 323, 646

947 : 1, 947

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,290,646,947, is 1.

Now, the common factors can be found like this.

314:2x 157

290:2x 5x 29

646:2x 17x 19

947:947

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 55707047720/(1x4)

LCM = 55707047720/4

LCM = 13926761930

Thus, we can understand that the LCM of 314,290,646,947 is 13926761930.

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

• LCM of 688, 576, 362, 427
• LCM of 382, 918, 788, 808
• LCM of 556, 693, 358, 338
• LCM of 359, 361, 775, 690
• LCM of 611, 164, 939, 635

1. What is the LCM of 314, 290, 646, 947?

Answer: LCM of 314, 290, 646, 947 is 13926761930.

2. How to calculate the LCM of 314, 290, 646, 947?

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 314, 290, 646, 947.

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}.