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LCM of 224, 297, 926, 291

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


Find the LCM of 224, 297, 926, 291 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 224, 297, 926, 291. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 224,297,926,291

Given numbers are 224,297,926,291

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

The LCM of 224,297,926,291 is 2987839008.

Find LCM of 224,297,926,291 with Prime Factorization


2 224, 297, 926, 291
3 112, 297, 463, 291
112, 99, 463, 97

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

2 x 3 x 112 x 99 x 463 x 97 = 2987839008

Therefore, the lowest common multiple of 224,297,926,291 is 2987839008.

LCM Formula to Find Lowest Common Multiple of 224,297,926,291

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.

224 x 297 x 926 x 291 = 17927034048

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.

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

297 : 1, 3, 9, 11, 27, 33, 99, 297

926 : 1, 2, 463, 926

291 : 1, 3, 97, 291

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,297,926,291, is 1.

Now, the common factors can be found like this.

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

297:3x 3x 3x 11

926:2x 463

291:3x 97

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 17927034048/(1x6)

LCM = 17927034048/6

LCM = 2987839008

Thus, we can understand that the LCM of 224,297,926,291 is 2987839008.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 224, 297, 926, 291

1. What is the LCM of 224, 297, 926, 291?

Answer: LCM of 224, 297, 926, 291 is 2987839008.

2. How to calculate the LCM of 224, 297, 926, 291?

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 224, 297, 926, 291.

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}.