Given numbers are 790,320,135,347

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

The LCM of 790,320,135,347 is 236848320.

Find LCM of 790,320,135,347 with Prime Factorization

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

2 x 5 x 79 x 32 x 27 x 347 = 236848320

Therefore, the lowest common multiple of 790,320,135,347 is 236848320.

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.

790 x 320 x 135 x 347 = 11842416000

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.

790 : 1, 2, 5, 10, 79, 158, 395, 790

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

135 : 1, 3, 5, 9, 15, 27, 45, 135

347 : 1, 347

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 790,320,135,347, is 1.

Now, the common factors can be found like this.

790:2x 5x 79

320:2x 2x 2x 2x 2x 2x 5

135:3x 3x 3x 5

347:347

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

2x 5x 5 = 50

Therefore, the value for common factors is 50.

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 = 11842416000/(1x50)

LCM = 11842416000/50

LCM = 236848320

Thus, we can understand that the LCM of 790,320,135,347 is 236848320.

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

• LCM of 931, 524, 854, 659
• LCM of 881, 643, 751, 440
• LCM of 284, 300, 714, 771
• LCM of 215, 712, 443, 365
• LCM of 805, 996, 842, 491

1. What is the LCM of 790, 320, 135, 347?

Answer: LCM of 790, 320, 135, 347 is 236848320.

2. How to calculate the LCM of 790, 320, 135, 347?

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 790, 320, 135, 347.

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}.