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LCM of 767, 705, 758, 983, 445

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 767, 705, 758, 983, 445 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 767, 705, 758, 983, 445. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 767,705,758,983,445

Given numbers are 767,705,758,983,445

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

The LCM of 767,705,758,983,445 is 35858920472310.

Find LCM of 767,705,758,983,445 with Prime Factorization


5 767, 705, 758, 983, 445
767, 141, 758, 983, 89

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

5 x 767 x 141 x 758 x 983 x 89 = 35858920472310

Therefore, the lowest common multiple of 767,705,758,983,445 is 35858920472310.

LCM Formula to Find Lowest Common Multiple of 767,705,758,983,445

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.

767 x 705 x 758 x 983 x 445 = 179294602361550

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.

767 : 1, 13, 59, 767

705 : 1, 3, 5, 15, 47, 141, 235, 705

758 : 1, 2, 379, 758

983 : 1, 983

445 : 1, 5, 89, 445

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,705,758,983,445, is 1.

Now, the common factors can be found like this.

767:13x 59

705:3x 5x 47

758:2x 379

983:983

445:5x 89

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

5 = 5

Therefore, the value for common factors is 5.

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 = 179294602361550/(1x5)

LCM = 179294602361550/5

LCM = 35858920472310

Thus, we can understand that the LCM of 767,705,758,983,445 is 35858920472310.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 767, 705, 758, 983, 445

1. What is the LCM of 767, 705, 758, 983, 445?

Answer: LCM of 767, 705, 758, 983, 445 is 35858920472310.

2. How to calculate the LCM of 767, 705, 758, 983, 445?

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 767, 705, 758, 983, 445.

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}.