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LCM of 269, 384, 971, 298

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


Find the LCM of 269, 384, 971, 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 269, 384, 971, 298. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 269,384,971,298

Given numbers are 269,384,971,298

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

The LCM of 269,384,971,298 is 14944761984.

Find LCM of 269,384,971,298 with Prime Factorization


2 269, 384, 971, 298
269, 192, 971, 149

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

2 x 269 x 192 x 971 x 149 = 14944761984

Therefore, the lowest common multiple of 269,384,971,298 is 14944761984.

LCM Formula to Find Lowest Common Multiple of 269,384,971,298

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.

269 x 384 x 971 x 298 = 29889523968

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.

269 : 1, 269

384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

971 : 1, 971

298 : 1, 2, 149, 298

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,384,971,298, is 1.

Now, the common factors can be found like this.

269:269

384:2x 2x 2x 2x 2x 2x 2x 3

971:971

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.

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 = 29889523968/(1x2)

LCM = 29889523968/2

LCM = 14944761984

Thus, we can understand that the LCM of 269,384,971,298 is 14944761984.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 269, 384, 971, 298

1. What is the LCM of 269, 384, 971, 298?

Answer: LCM of 269, 384, 971, 298 is 14944761984.

2. How to calculate the LCM of 269, 384, 971, 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 269, 384, 971, 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}.