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LCM of 805, 670, 529, 449, 748

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


Find the LCM of 805, 670, 529, 449, 748 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, 670, 529, 449, 748. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 805,670,529,449,748

Given numbers are 805,670,529,449,748

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

The LCM of 805,670,529,449,748 is 416626085260.

Find LCM of 805,670,529,449,748 with Prime Factorization


2 805, 670, 529, 449, 748
5 805, 335, 529, 449, 374
23 161, 67, 529, 449, 374
7, 67, 23, 449, 374

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

2 x 5 x 23 x 7 x 67 x 23 x 449 x 374 = 416626085260

Therefore, the lowest common multiple of 805,670,529,449,748 is 416626085260.

LCM Formula to Find Lowest Common Multiple of 805,670,529,449,748

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 670 x 529 x 449 x 748 = 95823999609800

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

670 : 1, 2, 5, 10, 67, 134, 335, 670

529 : 1, 23, 529

449 : 1, 449

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 805,670,529,449,748, is 1.

Now, the common factors can be found like this.

805:5x 7x 23

670:2x 5x 67

529:23x 23

449:449

748:2x 2x 11x 17

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 23 = 230

Therefore, the value for common factors is 230.

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 = 95823999609800/(1x230)

LCM = 95823999609800/230

LCM = 416626085260

Thus, we can understand that the LCM of 805,670,529,449,748 is 416626085260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 805, 670, 529, 449, 748

1. What is the LCM of 805, 670, 529, 449, 748?

Answer: LCM of 805, 670, 529, 449, 748 is 416626085260.

2. How to calculate the LCM of 805, 670, 529, 449, 748?

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, 670, 529, 449, 748.

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}.