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LCM of 505, 845, 354, 665

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


Find the LCM of 505, 845, 354, 665 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 505, 845, 354, 665. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 505,845,354,665

Given numbers are 505,845,354,665

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

The LCM of 505,845,354,665 is 4018213290.

Find LCM of 505,845,354,665 with Prime Factorization


5 505, 845, 354, 665
101, 169, 354, 133

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

5 x 101 x 169 x 354 x 133 = 4018213290

Therefore, the lowest common multiple of 505,845,354,665 is 4018213290.

LCM Formula to Find Lowest Common Multiple of 505,845,354,665

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.

505 x 845 x 354 x 665 = 100455332250

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.

505 : 1, 5, 101, 505

845 : 1, 5, 13, 65, 169, 845

354 : 1, 2, 3, 6, 59, 118, 177, 354

665 : 1, 5, 7, 19, 35, 95, 133, 665

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,845,354,665, is 1.

Now, the common factors can be found like this.

505:5x 101

845:5x 13x 13

354:2x 3x 59

665:5x 7x 19

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 100455332250/(1x25)

LCM = 100455332250/25

LCM = 4018213290

Thus, we can understand that the LCM of 505,845,354,665 is 4018213290.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 505, 845, 354, 665

1. What is the LCM of 505, 845, 354, 665?

Answer: LCM of 505, 845, 354, 665 is 4018213290.

2. How to calculate the LCM of 505, 845, 354, 665?

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 505, 845, 354, 665.

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}.