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LCM of 773, 165, 627, 462, 193

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


Find the LCM of 773, 165, 627, 462, 193 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 773, 165, 627, 462, 193. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 773,165,627,462,193

Given numbers are 773,165,627,462,193

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

The LCM of 773,165,627,462,193 is 6547905210.

Find LCM of 773,165,627,462,193 with Prime Factorization


3 773, 165, 627, 462, 193
11 773, 55, 209, 154, 193
773, 5, 19, 14, 193

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

3 x 11 x 773 x 5 x 19 x 14 x 193 = 6547905210

Therefore, the lowest common multiple of 773,165,627,462,193 is 6547905210.

LCM Formula to Find Lowest Common Multiple of 773,165,627,462,193

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.

773 x 165 x 627 x 462 x 193 = 7130668773690

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.

773 : 1, 773

165 : 1, 3, 5, 11, 15, 33, 55, 165

627 : 1, 3, 11, 19, 33, 57, 209, 627

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

193 : 1, 193

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 773,165,627,462,193, is 1.

Now, the common factors can be found like this.

773:773

165:3x 5x 11

627:3x 11x 19

462:2x 3x 7x 11

193:193

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 11x 11 = 1089

Therefore, the value for common factors is 1089.

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 = 7130668773690/(1x1089)

LCM = 7130668773690/1089

LCM = 6547905210

Thus, we can understand that the LCM of 773,165,627,462,193 is 6547905210.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 773, 165, 627, 462, 193

1. What is the LCM of 773, 165, 627, 462, 193?

Answer: LCM of 773, 165, 627, 462, 193 is 6547905210.

2. How to calculate the LCM of 773, 165, 627, 462, 193?

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 773, 165, 627, 462, 193.

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}.