Given numbers are 416,737,319,341

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

The LCM of 416,737,319,341 is 275626208.

Find LCM of 416,737,319,341 with Prime Factorization

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

11 x 416 x 67 x 29 x 31 = 275626208

Therefore, the lowest common multiple of 416,737,319,341 is 275626208.

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.

416 x 737 x 319 x 341 = 33350771168

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.

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

737 : 1, 11, 67, 737

319 : 1, 11, 29, 319

341 : 1, 11, 31, 341

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,737,319,341, is 1.

Now, the common factors can be found like this.

416:2x 2x 2x 2x 2x 13

737:11x 67

319:11x 29

341:11x 31

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

11x 11 = 121

Therefore, the value for common factors is 121.

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 = 33350771168/(1x121)

LCM = 33350771168/121

LCM = 275626208

Thus, we can understand that the LCM of 416,737,319,341 is 275626208.

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

• LCM of 411, 808, 453, 101
• LCM of 239, 340, 694, 402
• LCM of 325, 509, 216, 773
• LCM of 499, 496, 445, 898
• LCM of 623, 439, 113, 440

1. What is the LCM of 416, 737, 319, 341?

Answer: LCM of 416, 737, 319, 341 is 275626208.

2. How to calculate the LCM of 416, 737, 319, 341?

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 416, 737, 319, 341.

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}.