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LCM of 476, 966, 723, 645

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


Find the LCM of 476, 966, 723, 645 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 476, 966, 723, 645. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 476,966,723,645

Given numbers are 476,966,723,645

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

The LCM of 476,966,723,645 is 1701811860.

Find LCM of 476,966,723,645 with Prime Factorization


2 476, 966, 723, 645
3 238, 483, 723, 645
7 238, 161, 241, 215
34, 23, 241, 215

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

2 x 3 x 7 x 34 x 23 x 241 x 215 = 1701811860

Therefore, the lowest common multiple of 476,966,723,645 is 1701811860.

LCM Formula to Find Lowest Common Multiple of 476,966,723,645

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.

476 x 966 x 723 x 645 = 214428294360

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.

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

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

723 : 1, 3, 241, 723

645 : 1, 3, 5, 15, 43, 129, 215, 645

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 476,966,723,645, is 1.

Now, the common factors can be found like this.

476:2x 2x 7x 17

966:2x 3x 7x 23

723:3x 241

645:3x 5x 43

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 7 = 126

Therefore, the value for common factors is 126.

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 = 214428294360/(1x126)

LCM = 214428294360/126

LCM = 1701811860

Thus, we can understand that the LCM of 476,966,723,645 is 1701811860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 476, 966, 723, 645

1. What is the LCM of 476, 966, 723, 645?

Answer: LCM of 476, 966, 723, 645 is 1701811860.

2. How to calculate the LCM of 476, 966, 723, 645?

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 476, 966, 723, 645.

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}.