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LCM of 361, 754, 923, 663

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


Find the LCM of 361, 754, 923, 663 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 361, 754, 923, 663. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 361,754,923,663

Given numbers are 361,754,923,663

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

The LCM of 361,754,923,663 is 985614474.

Find LCM of 361,754,923,663 with Prime Factorization


13 361, 754, 923, 663
361, 58, 71, 51

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

13 x 361 x 58 x 71 x 51 = 985614474

Therefore, the lowest common multiple of 361,754,923,663 is 985614474.

LCM Formula to Find Lowest Common Multiple of 361,754,923,663

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.

361 x 754 x 923 x 663 = 166568846106

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.

361 : 1, 19, 361

754 : 1, 2, 13, 26, 29, 58, 377, 754

923 : 1, 13, 71, 923

663 : 1, 3, 13, 17, 39, 51, 221, 663

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,754,923,663, is 1.

Now, the common factors can be found like this.

361:19x 19

754:2x 13x 29

923:13x 71

663:3x 13x 17

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

13x 13 = 169

Therefore, the value for common factors is 169.

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 = 166568846106/(1x169)

LCM = 166568846106/169

LCM = 985614474

Thus, we can understand that the LCM of 361,754,923,663 is 985614474.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 361, 754, 923, 663

1. What is the LCM of 361, 754, 923, 663?

Answer: LCM of 361, 754, 923, 663 is 985614474.

2. How to calculate the LCM of 361, 754, 923, 663?

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 361, 754, 923, 663.

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}.