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LCM of 805, 745, 649, 463

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


Find the LCM of 805, 745, 649, 463 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 805, 745, 649, 463. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 805,745,649,463

Given numbers are 805,745,649,463

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

The LCM of 805,745,649,463 is 36041913215.

Find LCM of 805,745,649,463 with Prime Factorization


5 805, 745, 649, 463
161, 149, 649, 463

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

5 x 161 x 149 x 649 x 463 = 36041913215

Therefore, the lowest common multiple of 805,745,649,463 is 36041913215.

LCM Formula to Find Lowest Common Multiple of 805,745,649,463

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.

805 x 745 x 649 x 463 = 180209566075

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.

805 : 1, 5, 7, 23, 35, 115, 161, 805

745 : 1, 5, 149, 745

649 : 1, 11, 59, 649

463 : 1, 463

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 805,745,649,463, is 1.

Now, the common factors can be found like this.

805:5x 7x 23

745:5x 149

649:11x 59

463:463

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 = 180209566075/(1x5)

LCM = 180209566075/5

LCM = 36041913215

Thus, we can understand that the LCM of 805,745,649,463 is 36041913215.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 805, 745, 649, 463

1. What is the LCM of 805, 745, 649, 463?

Answer: LCM of 805, 745, 649, 463 is 36041913215.

2. How to calculate the LCM of 805, 745, 649, 463?

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 805, 745, 649, 463.

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}.