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LCM of 223, 322, 468, 756, 696

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


Find the LCM of 223, 322, 468, 756, 696 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 223, 322, 468, 756, 696. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 223,322,468,756,696

Given numbers are 223,322,468,756,696

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

The LCM of 223,322,468,756,696 is 2923653096.

Find LCM of 223,322,468,756,696 with Prime Factorization


2 223, 322, 468, 756, 696
2 223, 161, 234, 378, 348
3 223, 161, 117, 189, 174
3 223, 161, 39, 63, 58
7 223, 161, 13, 21, 58
223, 23, 13, 3, 58

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

2 x 2 x 3 x 3 x 7 x 223 x 23 x 13 x 3 x 58 = 2923653096

Therefore, the lowest common multiple of 223,322,468,756,696 is 2923653096.

LCM Formula to Find Lowest Common Multiple of 223,322,468,756,696

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.

223 x 322 x 468 x 756 x 696 = 17682253924608

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.

223 : 1, 223

322 : 1, 2, 7, 14, 23, 46, 161, 322

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 223,322,468,756,696, is 1.

Now, the common factors can be found like this.

223:223

322:2x 7x 23

468:2x 2x 3x 3x 13

756:2x 2x 3x 3x 3x 7

696:2x 2x 2x 3x 29

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 2x 3x 3x 3x 7 = 6048

Therefore, the value for common factors is 6048.

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 = 17682253924608/(1x6048)

LCM = 17682253924608/6048

LCM = 2923653096

Thus, we can understand that the LCM of 223,322,468,756,696 is 2923653096.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 223, 322, 468, 756, 696

1. What is the LCM of 223, 322, 468, 756, 696?

Answer: LCM of 223, 322, 468, 756, 696 is 2923653096.

2. How to calculate the LCM of 223, 322, 468, 756, 696?

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 223, 322, 468, 756, 696.

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}.