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LCM of 355, 916, 298, 298

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


Find the LCM of 355, 916, 298, 298 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 355, 916, 298, 298. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 355,916,298,298

Given numbers are 355,916,298,298

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

The LCM of 355,916,298,298 is 48451820.

Find LCM of 355,916,298,298 with Prime Factorization


2 355, 916, 298, 298
149 355, 458, 149, 149
355, 458, 1, 1

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

2 x 149 x 355 x 458 x 1 x 1 = 48451820

Therefore, the lowest common multiple of 355,916,298,298 is 48451820.

LCM Formula to Find Lowest Common Multiple of 355,916,298,298

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.

355 x 916 x 298 x 298 = 28877284720

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.

355 : 1, 5, 71, 355

916 : 1, 2, 4, 229, 458, 916

298 : 1, 2, 149, 298

298 : 1, 2, 149, 298

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 355,916,298,298, is 1.

Now, the common factors can be found like this.

355:5x 71

916:2x 2x 229

298:2x 149

298:2x 149

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 149 = 596

Therefore, the value for common factors is 596.

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 = 28877284720/(1x596)

LCM = 28877284720/596

LCM = 48451820

Thus, we can understand that the LCM of 355,916,298,298 is 48451820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 355, 916, 298, 298

1. What is the LCM of 355, 916, 298, 298?

Answer: LCM of 355, 916, 298, 298 is 48451820.

2. How to calculate the LCM of 355, 916, 298, 298?

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 355, 916, 298, 298.

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}.