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LCM of 301, 635, 952, 805

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


Find the LCM of 301, 635, 952, 805 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 301, 635, 952, 805. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 301,635,952,805

Given numbers are 301,635,952,805

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

The LCM of 301,635,952,805 is 597870280.

Find LCM of 301,635,952,805 with Prime Factorization


5 301, 635, 952, 805
7 301, 127, 952, 161
43, 127, 136, 23

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

5 x 7 x 43 x 127 x 136 x 23 = 597870280

Therefore, the lowest common multiple of 301,635,952,805 is 597870280.

LCM Formula to Find Lowest Common Multiple of 301,635,952,805

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.

301 x 635 x 952 x 805 = 146478218600

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.

301 : 1, 7, 43, 301

635 : 1, 5, 127, 635

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 301,635,952,805, is 1.

Now, the common factors can be found like this.

301:7x 43

635:5x 127

952:2x 2x 2x 7x 17

805:5x 7x 23

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

5x 7x 7 = 245

Therefore, the value for common factors is 245.

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 = 146478218600/(1x245)

LCM = 146478218600/245

LCM = 597870280

Thus, we can understand that the LCM of 301,635,952,805 is 597870280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 301, 635, 952, 805

1. What is the LCM of 301, 635, 952, 805?

Answer: LCM of 301, 635, 952, 805 is 597870280.

2. How to calculate the LCM of 301, 635, 952, 805?

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 301, 635, 952, 805.

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}.