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LCM of 667, 507, 174, 346

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


Find the LCM of 667, 507, 174, 346 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, 507, 174, 346. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 667,507,174,346

Given numbers are 667,507,174,346

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

The LCM of 667,507,174,346 is 117006474.

Find LCM of 667,507,174,346 with Prime Factorization


2 667, 507, 174, 346
3 667, 507, 87, 173
29 667, 169, 29, 173
23, 169, 1, 173

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

2 x 3 x 29 x 23 x 169 x 1 x 173 = 117006474

Therefore, the lowest common multiple of 667,507,174,346 is 117006474.

LCM Formula to Find Lowest Common Multiple of 667,507,174,346

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 507 x 174 x 346 = 20359126476

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

507 : 1, 3, 13, 39, 169, 507

174 : 1, 2, 3, 6, 29, 58, 87, 174

346 : 1, 2, 173, 346

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,507,174,346, is 1.

Now, the common factors can be found like this.

667:23x 29

507:3x 13x 13

174:2x 3x 29

346:2x 173

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

2x 3x 29 = 174

Therefore, the value for common factors is 174.

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 = 20359126476/(1x174)

LCM = 20359126476/174

LCM = 117006474

Thus, we can understand that the LCM of 667,507,174,346 is 117006474.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 667, 507, 174, 346

1. What is the LCM of 667, 507, 174, 346?

Answer: LCM of 667, 507, 174, 346 is 117006474.

2. How to calculate the LCM of 667, 507, 174, 346?

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, 507, 174, 346.

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}.