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LCM of 417, 751, 565, 999, 690

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


Find the LCM of 417, 751, 565, 999, 690 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 417, 751, 565, 999, 690. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 417,751,565,999,690

Given numbers are 417,751,565,999,690

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

The LCM of 417,751,565,999,690 is 2710357039890.

Find LCM of 417,751,565,999,690 with Prime Factorization


3 417, 751, 565, 999, 690
5 139, 751, 565, 333, 230
139, 751, 113, 333, 46

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

3 x 5 x 139 x 751 x 113 x 333 x 46 = 2710357039890

Therefore, the lowest common multiple of 417,751,565,999,690 is 2710357039890.

LCM Formula to Find Lowest Common Multiple of 417,751,565,999,690

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.

417 x 751 x 565 x 999 x 690 = 121966066795050

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.

417 : 1, 3, 139, 417

751 : 1, 751

565 : 1, 5, 113, 565

999 : 1, 3, 9, 27, 37, 111, 333, 999

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 417,751,565,999,690, is 1.

Now, the common factors can be found like this.

417:3x 139

751:751

565:5x 113

999:3x 3x 3x 37

690:2x 3x 5x 23

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

3x 3x 5 = 45

Therefore, the value for common factors is 45.

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 = 121966066795050/(1x45)

LCM = 121966066795050/45

LCM = 2710357039890

Thus, we can understand that the LCM of 417,751,565,999,690 is 2710357039890.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 417, 751, 565, 999, 690

1. What is the LCM of 417, 751, 565, 999, 690?

Answer: LCM of 417, 751, 565, 999, 690 is 2710357039890.

2. How to calculate the LCM of 417, 751, 565, 999, 690?

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 417, 751, 565, 999, 690.

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}.