Given numbers are 713,310,414,349

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

The LCM of 713,310,414,349 is 22395330.

Find LCM of 713,310,414,349 with Prime Factorization

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

2 x 23 x 31 x 1 x 5 x 9 x 349 = 22395330

Therefore, the lowest common multiple of 713,310,414,349 is 22395330.

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.

713 x 310 x 414 x 349 = 31935740580

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.

713 : 1, 23, 31, 713

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

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 713,310,414,349, is 1.

Now, the common factors can be found like this.

713:23x 31

310:2x 5x 31

414:2x 3x 3x 23

349:349

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

2x 23x 31 = 1426

Therefore, the value for common factors is 1426.

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 = 31935740580/(1x1426)

LCM = 31935740580/1426

LCM = 22395330

Thus, we can understand that the LCM of 713,310,414,349 is 22395330.

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

• LCM of 570, 223, 341, 373
• LCM of 761, 850, 926, 179
• LCM of 181, 118, 358, 962
• LCM of 425, 827, 320, 212
• LCM of 820, 132, 575, 921

1. What is the LCM of 713, 310, 414, 349?

Answer: LCM of 713, 310, 414, 349 is 22395330.

2. How to calculate the LCM of 713, 310, 414, 349?

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 713, 310, 414, 349.

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}.