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LCM of 459, 410, 667, 970

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


Find the LCM of 459, 410, 667, 970 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 459, 410, 667, 970. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 459,410,667,970

Given numbers are 459,410,667,970

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

The LCM of 459,410,667,970 is 12175704810.

Find LCM of 459,410,667,970 with Prime Factorization


2 459, 410, 667, 970
5 459, 205, 667, 485
459, 41, 667, 97

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

2 x 5 x 459 x 41 x 667 x 97 = 12175704810

Therefore, the lowest common multiple of 459,410,667,970 is 12175704810.

LCM Formula to Find Lowest Common Multiple of 459,410,667,970

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.

459 x 410 x 667 x 970 = 121757048100

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.

459 : 1, 3, 9, 17, 27, 51, 153, 459

410 : 1, 2, 5, 10, 41, 82, 205, 410

667 : 1, 23, 29, 667

970 : 1, 2, 5, 10, 97, 194, 485, 970

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,410,667,970, is 1.

Now, the common factors can be found like this.

459:3x 3x 3x 17

410:2x 5x 41

667:23x 29

970:2x 5x 97

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 121757048100/(1x10)

LCM = 121757048100/10

LCM = 12175704810

Thus, we can understand that the LCM of 459,410,667,970 is 12175704810.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 459, 410, 667, 970

1. What is the LCM of 459, 410, 667, 970?

Answer: LCM of 459, 410, 667, 970 is 12175704810.

2. How to calculate the LCM of 459, 410, 667, 970?

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 459, 410, 667, 970.

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}.