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LCM of 299, 355, 893, 174, 346

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


Find the LCM of 299, 355, 893, 174, 346 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 299, 355, 893, 174, 346. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 299,355,893,174,346

Given numbers are 299,355,893,174,346

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

The LCM of 299,355,893,174,346 is 2853292873470.

Find LCM of 299,355,893,174,346 with Prime Factorization


2 299, 355, 893, 174, 346
299, 355, 893, 87, 173

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

2 x 299 x 355 x 893 x 87 x 173 = 2853292873470

Therefore, the lowest common multiple of 299,355,893,174,346 is 2853292873470.

LCM Formula to Find Lowest Common Multiple of 299,355,893,174,346

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.

299 x 355 x 893 x 174 x 346 = 5706585746940

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.

299 : 1, 13, 23, 299

355 : 1, 5, 71, 355

893 : 1, 19, 47, 893

174 : 1, 2, 3, 6, 29, 58, 87, 174

346 : 1, 2, 173, 346

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,355,893,174,346, is 1.

Now, the common factors can be found like this.

299:13x 23

355:5x 71

893:19x 47

174:2x 3x 29

346:2x 173

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

2 = 2

Therefore, the value for common factors is 2.

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 = 5706585746940/(1x2)

LCM = 5706585746940/2

LCM = 2853292873470

Thus, we can understand that the LCM of 299,355,893,174,346 is 2853292873470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 299, 355, 893, 174, 346

1. What is the LCM of 299, 355, 893, 174, 346?

Answer: LCM of 299, 355, 893, 174, 346 is 2853292873470.

2. How to calculate the LCM of 299, 355, 893, 174, 346?

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 299, 355, 893, 174, 346.

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}.