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LCM of 667, 334, 307, 632

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


Find the LCM of 667, 334, 307, 632 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, 334, 307, 632. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 667,334,307,632

Given numbers are 667,334,307,632

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

The LCM of 667,334,307,632 is 21612139336.

Find LCM of 667,334,307,632 with Prime Factorization


2 667, 334, 307, 632
667, 167, 307, 316

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

2 x 667 x 167 x 307 x 316 = 21612139336

Therefore, the lowest common multiple of 667,334,307,632 is 21612139336.

LCM Formula to Find Lowest Common Multiple of 667,334,307,632

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 334 x 307 x 632 = 43224278672

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

334 : 1, 2, 167, 334

307 : 1, 307

632 : 1, 2, 4, 8, 79, 158, 316, 632

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,334,307,632, is 1.

Now, the common factors can be found like this.

667:23x 29

334:2x 167

307:307

632:2x 2x 2x 79

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

2 = 2

Therefore, the value for common factors is 2.

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 = 43224278672/(1x2)

LCM = 43224278672/2

LCM = 21612139336

Thus, we can understand that the LCM of 667,334,307,632 is 21612139336.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 667, 334, 307, 632

1. What is the LCM of 667, 334, 307, 632?

Answer: LCM of 667, 334, 307, 632 is 21612139336.

2. How to calculate the LCM of 667, 334, 307, 632?

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, 334, 307, 632.

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}.