LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 766, 574, 653, 646, 238

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


Find the LCM of 766, 574, 653, 646, 238 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 766, 574, 653, 646, 238. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 766,574,653,646,238

Given numbers are 766,574,653,646,238

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

The LCM of 766,574,653,646,238 is 46368854798.

Find LCM of 766,574,653,646,238 with Prime Factorization


2 766, 574, 653, 646, 238
7 383, 287, 653, 323, 119
17 383, 41, 653, 323, 17
383, 41, 653, 19, 1

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

2 x 7 x 17 x 383 x 41 x 653 x 19 x 1 = 46368854798

Therefore, the lowest common multiple of 766,574,653,646,238 is 46368854798.

LCM Formula to Find Lowest Common Multiple of 766,574,653,646,238

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.

766 x 574 x 653 x 646 x 238 = 44143149767696

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.

766 : 1, 2, 383, 766

574 : 1, 2, 7, 14, 41, 82, 287, 574

653 : 1, 653

646 : 1, 2, 17, 19, 34, 38, 323, 646

238 : 1, 2, 7, 14, 17, 34, 119, 238

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 766,574,653,646,238, is 1.

Now, the common factors can be found like this.

766:2x 383

574:2x 7x 41

653:653

646:2x 17x 19

238:2x 7x 17

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

2x 2x 2x 7x 17 = 952

Therefore, the value for common factors is 952.

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 = 44143149767696/(1x952)

LCM = 44143149767696/952

LCM = 46368854798

Thus, we can understand that the LCM of 766,574,653,646,238 is 46368854798.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 766, 574, 653, 646, 238

1. What is the LCM of 766, 574, 653, 646, 238?

Answer: LCM of 766, 574, 653, 646, 238 is 46368854798.

2. How to calculate the LCM of 766, 574, 653, 646, 238?

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 766, 574, 653, 646, 238.

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}.