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LCM of 966, 767, 668, 506

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


Find the LCM of 966, 767, 668, 506 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 966, 767, 668, 506. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 966,767,668,506

Given numbers are 966,767,668,506

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

The LCM of 966,767,668,506 is 2722147428.

Find LCM of 966,767,668,506 with Prime Factorization


2 966, 767, 668, 506
23 483, 767, 334, 253
21, 767, 334, 11

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

2 x 23 x 21 x 767 x 334 x 11 = 2722147428

Therefore, the lowest common multiple of 966,767,668,506 is 2722147428.

LCM Formula to Find Lowest Common Multiple of 966,767,668,506

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.

966 x 767 x 668 x 506 = 250437563376

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.

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

767 : 1, 13, 59, 767

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

506 : 1, 2, 11, 22, 23, 46, 253, 506

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,767,668,506, is 1.

Now, the common factors can be found like this.

966:2x 3x 7x 23

767:13x 59

668:2x 2x 167

506:2x 11x 23

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 23 = 92

Therefore, the value for common factors is 92.

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 = 250437563376/(1x92)

LCM = 250437563376/92

LCM = 2722147428

Thus, we can understand that the LCM of 966,767,668,506 is 2722147428.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 966, 767, 668, 506

1. What is the LCM of 966, 767, 668, 506?

Answer: LCM of 966, 767, 668, 506 is 2722147428.

2. How to calculate the LCM of 966, 767, 668, 506?

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 966, 767, 668, 506.

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}.