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LCM of 667, 598, 545, 364

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


Find the LCM of 667, 598, 545, 364 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, 598, 545, 364. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 667,598,545,364

Given numbers are 667,598,545,364

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

The LCM of 667,598,545,364 is 132319460.

Find LCM of 667,598,545,364 with Prime Factorization


2 667, 598, 545, 364
13 667, 299, 545, 182
23 667, 23, 545, 14
29, 1, 545, 14

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

2 x 13 x 23 x 29 x 1 x 545 x 14 = 132319460

Therefore, the lowest common multiple of 667,598,545,364 is 132319460.

LCM Formula to Find Lowest Common Multiple of 667,598,545,364

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 598 x 545 x 364 = 79127037080

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

598 : 1, 2, 13, 23, 26, 46, 299, 598

545 : 1, 5, 109, 545

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,598,545,364, is 1.

Now, the common factors can be found like this.

667:23x 29

598:2x 13x 23

545:5x 109

364:2x 2x 7x 13

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

2x 13x 23 = 598

Therefore, the value for common factors is 598.

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 = 79127037080/(1x598)

LCM = 79127037080/598

LCM = 132319460

Thus, we can understand that the LCM of 667,598,545,364 is 132319460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 667, 598, 545, 364

1. What is the LCM of 667, 598, 545, 364?

Answer: LCM of 667, 598, 545, 364 is 132319460.

2. How to calculate the LCM of 667, 598, 545, 364?

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, 598, 545, 364.

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}.