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LCM of 816, 189, 224, 737

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


Find the LCM of 816, 189, 224, 737 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 816, 189, 224, 737. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 816,189,224,737

Given numbers are 816,189,224,737

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

The LCM of 816,189,224,737 is 75775392.

Find LCM of 816,189,224,737 with Prime Factorization


2 816, 189, 224, 737
2 408, 189, 112, 737
2 204, 189, 56, 737
2 102, 189, 28, 737
3 51, 189, 14, 737
7 17, 63, 14, 737
17, 9, 2, 737

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

2 x 2 x 2 x 2 x 3 x 7 x 17 x 9 x 2 x 737 = 75775392

Therefore, the lowest common multiple of 816,189,224,737 is 75775392.

LCM Formula to Find Lowest Common Multiple of 816,189,224,737

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.

816 x 189 x 224 x 737 = 25460531712

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.

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

189 : 1, 3, 7, 9, 21, 27, 63, 189

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

737 : 1, 11, 67, 737

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,189,224,737, is 1.

Now, the common factors can be found like this.

816:2x 2x 2x 2x 3x 17

189:3x 3x 3x 7

224:2x 2x 2x 2x 2x 7

737:11x 67

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 3x 7 = 336

Therefore, the value for common factors is 336.

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 = 25460531712/(1x336)

LCM = 25460531712/336

LCM = 75775392

Thus, we can understand that the LCM of 816,189,224,737 is 75775392.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 816, 189, 224, 737

1. What is the LCM of 816, 189, 224, 737?

Answer: LCM of 816, 189, 224, 737 is 75775392.

2. How to calculate the LCM of 816, 189, 224, 737?

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 816, 189, 224, 737.

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}.