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LCM of 565, 947, 206, 414, 964

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


Find the LCM of 565, 947, 206, 414, 964 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 565, 947, 206, 414, 964. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 565,947,206,414,964

Given numbers are 565,947,206,414,964

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

The LCM of 565,947,206,414,964 is 10997222979420.

Find LCM of 565,947,206,414,964 with Prime Factorization


2 565, 947, 206, 414, 964
565, 947, 103, 207, 482

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

2 x 565 x 947 x 103 x 207 x 482 = 10997222979420

Therefore, the lowest common multiple of 565,947,206,414,964 is 10997222979420.

LCM Formula to Find Lowest Common Multiple of 565,947,206,414,964

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.

565 x 947 x 206 x 414 x 964 = 43988891917680

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.

565 : 1, 5, 113, 565

947 : 1, 947

206 : 1, 2, 103, 206

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

964 : 1, 2, 4, 241, 482, 964

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,947,206,414,964, is 1.

Now, the common factors can be found like this.

565:5x 113

947:947

206:2x 103

414:2x 3x 3x 23

964:2x 2x 241

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 43988891917680/(1x4)

LCM = 43988891917680/4

LCM = 10997222979420

Thus, we can understand that the LCM of 565,947,206,414,964 is 10997222979420.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 565, 947, 206, 414, 964

1. What is the LCM of 565, 947, 206, 414, 964?

Answer: LCM of 565, 947, 206, 414, 964 is 10997222979420.

2. How to calculate the LCM of 565, 947, 206, 414, 964?

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 565, 947, 206, 414, 964.

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}.