Given numbers are 820,349,343,365,349

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

The LCM of 820,349,343,365,349 is 7165661020.

Find LCM of 820,349,343,365,349 with Prime Factorization

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

5 x 349 x 164 x 1 x 343 x 73 x 1 = 7165661020

Therefore, the lowest common multiple of 820,349,343,365,349 is 7165661020.

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.

820 x 349 x 343 x 365 x 349 = 12504078479900

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.

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

349 : 1, 349

343 : 1, 7, 49, 343

365 : 1, 5, 73, 365

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,349,343,365,349, is 1.

Now, the common factors can be found like this.

820:2x 2x 5x 41

349:349

343:7x 7x 7

365:5x 73

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.

5x 349 = 1745

Therefore, the value for common factors is 1745.

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 = 12504078479900/(1x1745)

LCM = 12504078479900/1745

LCM = 7165661020

Thus, we can understand that the LCM of 820,349,343,365,349 is 7165661020.

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

• LCM of 984, 648, 126, 222, 471
• LCM of 845, 847, 483, 382, 957
• LCM of 732, 913, 586, 428, 843
• LCM of 853, 491, 634, 836, 337
• LCM of 760, 848, 948, 927, 133

1. What is the LCM of 820, 349, 343, 365, 349?

Answer: LCM of 820, 349, 343, 365, 349 is 7165661020.

2. How to calculate the LCM of 820, 349, 343, 365, 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 820, 349, 343, 365, 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}.