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LCM of 667, 684, 667, 464

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


Find the LCM of 667, 684, 667, 464 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, 684, 667, 464. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 667,684,667,464

Given numbers are 667,684,667,464

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

The LCM of 667,684,667,464 is 1824912.

Find LCM of 667,684,667,464 with Prime Factorization


2 667, 684, 667, 464
2 667, 342, 667, 232
23 667, 171, 667, 116
29 29, 171, 29, 116
1, 171, 1, 4

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

2 x 2 x 23 x 29 x 1 x 171 x 1 x 4 = 1824912

Therefore, the lowest common multiple of 667,684,667,464 is 1824912.

LCM Formula to Find Lowest Common Multiple of 667,684,667,464

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 684 x 667 x 464 = 141197091264

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

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

667 : 1, 23, 29, 667

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,684,667,464, is 1.

Now, the common factors can be found like this.

667:23x 29

684:2x 2x 3x 3x 19

667:23x 29

464:2x 2x 2x 2x 29

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 23x 29x 29 = 77372

Therefore, the value for common factors is 77372.

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 = 141197091264/(1x77372)

LCM = 141197091264/77372

LCM = 1824912

Thus, we can understand that the LCM of 667,684,667,464 is 1824912.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 667, 684, 667, 464

1. What is the LCM of 667, 684, 667, 464?

Answer: LCM of 667, 684, 667, 464 is 1824912.

2. How to calculate the LCM of 667, 684, 667, 464?

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, 684, 667, 464.

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}.