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LCM of 667, 774, 945, 209, 464

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


Find the LCM of 667, 774, 945, 209, 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, 774, 945, 209, 464. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 667,774,945,209,464

Given numbers are 667,774,945,209,464

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

The LCM of 667,774,945,209,464 is 90634254480.

Find LCM of 667,774,945,209,464 with Prime Factorization


2 667, 774, 945, 209, 464
3 667, 387, 945, 209, 232
3 667, 129, 315, 209, 232
29 667, 43, 105, 209, 232
23, 43, 105, 209, 8

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

2 x 3 x 3 x 29 x 23 x 43 x 105 x 209 x 8 = 90634254480

Therefore, the lowest common multiple of 667,774,945,209,464 is 90634254480.

LCM Formula to Find Lowest Common Multiple of 667,774,945,209,464

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 774 x 945 x 209 x 464 = 47311080838560

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

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

209 : 1, 11, 19, 209

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 667,774,945,209,464, is 1.

Now, the common factors can be found like this.

667:23x 29

774:2x 3x 3x 43

945:3x 3x 3x 5x 7

209:11x 19

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 3x 3x 29 = 522

Therefore, the value for common factors is 522.

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 = 47311080838560/(1x522)

LCM = 47311080838560/522

LCM = 90634254480

Thus, we can understand that the LCM of 667,774,945,209,464 is 90634254480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 667, 774, 945, 209, 464

1. What is the LCM of 667, 774, 945, 209, 464?

Answer: LCM of 667, 774, 945, 209, 464 is 90634254480.

2. How to calculate the LCM of 667, 774, 945, 209, 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, 774, 945, 209, 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}.