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LCM of 298, 497, 142, 297

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


Find the LCM of 298, 497, 142, 297 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 298, 497, 142, 297. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 298,497,142,297

Given numbers are 298,497,142,297

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

The LCM of 298,497,142,297 is 43987482.

Find LCM of 298,497,142,297 with Prime Factorization


2 298, 497, 142, 297
71 149, 497, 71, 297
149, 7, 1, 297

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

2 x 71 x 149 x 7 x 1 x 297 = 43987482

Therefore, the lowest common multiple of 298,497,142,297 is 43987482.

LCM Formula to Find Lowest Common Multiple of 298,497,142,297

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.

298 x 497 x 142 x 297 = 6246222444

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.

298 : 1, 2, 149, 298

497 : 1, 7, 71, 497

142 : 1, 2, 71, 142

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,497,142,297, is 1.

Now, the common factors can be found like this.

298:2x 149

497:7x 71

142:2x 71

297:3x 3x 3x 11

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

2x 71 = 142

Therefore, the value for common factors is 142.

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 = 6246222444/(1x142)

LCM = 6246222444/142

LCM = 43987482

Thus, we can understand that the LCM of 298,497,142,297 is 43987482.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 298, 497, 142, 297

1. What is the LCM of 298, 497, 142, 297?

Answer: LCM of 298, 497, 142, 297 is 43987482.

2. How to calculate the LCM of 298, 497, 142, 297?

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 298, 497, 142, 297.

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}.