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LCM of 695, 417, 266, 802

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


Find the LCM of 695, 417, 266, 802 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 695, 417, 266, 802. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 695,417,266,802

Given numbers are 695,417,266,802

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

The LCM of 695,417,266,802 is 222398610.

Find LCM of 695,417,266,802 with Prime Factorization


2 695, 417, 266, 802
139 695, 417, 133, 401
5, 3, 133, 401

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

2 x 139 x 5 x 3 x 133 x 401 = 222398610

Therefore, the lowest common multiple of 695,417,266,802 is 222398610.

LCM Formula to Find Lowest Common Multiple of 695,417,266,802

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.

695 x 417 x 266 x 802 = 61826813580

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.

695 : 1, 5, 139, 695

417 : 1, 3, 139, 417

266 : 1, 2, 7, 14, 19, 38, 133, 266

802 : 1, 2, 401, 802

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 695,417,266,802, is 1.

Now, the common factors can be found like this.

695:5x 139

417:3x 139

266:2x 7x 19

802:2x 401

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

2x 139 = 278

Therefore, the value for common factors is 278.

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 = 61826813580/(1x278)

LCM = 61826813580/278

LCM = 222398610

Thus, we can understand that the LCM of 695,417,266,802 is 222398610.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 695, 417, 266, 802

1. What is the LCM of 695, 417, 266, 802?

Answer: LCM of 695, 417, 266, 802 is 222398610.

2. How to calculate the LCM of 695, 417, 266, 802?

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 695, 417, 266, 802.

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}.