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 667, 362, 344, 472

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


Find the LCM of 667, 362, 344, 472 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 667, 362, 344, 472. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 667,362,344,472

Given numbers are 667,362,344,472

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

The LCM of 667,362,344,472 is 2450275192.

Find LCM of 667,362,344,472 with Prime Factorization


2 667, 362, 344, 472
2 667, 181, 172, 236
2 667, 181, 86, 118
667, 181, 43, 59

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

2 x 2 x 2 x 667 x 181 x 43 x 59 = 2450275192

Therefore, the lowest common multiple of 667,362,344,472 is 2450275192.

LCM Formula to Find Lowest Common Multiple of 667,362,344,472

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.

667 x 362 x 344 x 472 = 39204403072

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.

667 : 1, 23, 29, 667

362 : 1, 2, 181, 362

344 : 1, 2, 4, 8, 43, 86, 172, 344

472 : 1, 2, 4, 8, 59, 118, 236, 472

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,362,344,472, is 1.

Now, the common factors can be found like this.

667:23x 29

362:2x 181

344:2x 2x 2x 43

472:2x 2x 2x 59

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 2 = 16

Therefore, the value for common factors is 16.

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 = 39204403072/(1x16)

LCM = 39204403072/16

LCM = 2450275192

Thus, we can understand that the LCM of 667,362,344,472 is 2450275192.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 667, 362, 344, 472

1. What is the LCM of 667, 362, 344, 472?

Answer: LCM of 667, 362, 344, 472 is 2450275192.

2. How to calculate the LCM of 667, 362, 344, 472?

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 667, 362, 344, 472.

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}.