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LCM of 668, 494, 946, 495, 668

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


Find the LCM of 668, 494, 946, 495, 668 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 668, 494, 946, 495, 668. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 668,494,946,495,668

Given numbers are 668,494,946,495,668

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

The LCM of 668,494,946,495,668 is 3511939860.

Find LCM of 668,494,946,495,668 with Prime Factorization


2 668, 494, 946, 495, 668
2 334, 247, 473, 495, 334
11 167, 247, 473, 495, 167
167 167, 247, 43, 45, 167
1, 247, 43, 45, 1

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

2 x 2 x 11 x 167 x 1 x 247 x 43 x 45 x 1 = 3511939860

Therefore, the lowest common multiple of 668,494,946,495,668 is 3511939860.

LCM Formula to Find Lowest Common Multiple of 668,494,946,495,668

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.

668 x 494 x 946 x 495 x 668 = 103222936365120

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.

668 : 1, 2, 4, 167, 334, 668

494 : 1, 2, 13, 19, 26, 38, 247, 494

946 : 1, 2, 11, 22, 43, 86, 473, 946

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

668 : 1, 2, 4, 167, 334, 668

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 668,494,946,495,668, is 1.

Now, the common factors can be found like this.

668:2x 2x 167

494:2x 13x 19

946:2x 11x 43

495:3x 3x 5x 11

668:2x 2x 167

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 2x 2x 11x 167 = 29392

Therefore, the value for common factors is 29392.

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 = 103222936365120/(1x29392)

LCM = 103222936365120/29392

LCM = 3511939860

Thus, we can understand that the LCM of 668,494,946,495,668 is 3511939860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 668, 494, 946, 495, 668

1. What is the LCM of 668, 494, 946, 495, 668?

Answer: LCM of 668, 494, 946, 495, 668 is 3511939860.

2. How to calculate the LCM of 668, 494, 946, 495, 668?

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 668, 494, 946, 495, 668.

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}.