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LCM of 278, 298, 771, 460

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


Find the LCM of 278, 298, 771, 460 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 278, 298, 771, 460. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 278,298,771,460

Given numbers are 278,298,771,460

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

The LCM of 278,298,771,460 is 7345363260.

Find LCM of 278,298,771,460 with Prime Factorization


2 278, 298, 771, 460
139, 149, 771, 230

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

2 x 139 x 149 x 771 x 230 = 7345363260

Therefore, the lowest common multiple of 278,298,771,460 is 7345363260.

LCM Formula to Find Lowest Common Multiple of 278,298,771,460

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.

278 x 298 x 771 x 460 = 29381453040

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.

278 : 1, 2, 139, 278

298 : 1, 2, 149, 298

771 : 1, 3, 257, 771

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,298,771,460, is 1.

Now, the common factors can be found like this.

278:2x 139

298:2x 149

771:3x 257

460:2x 2x 5x 23

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 29381453040/(1x4)

LCM = 29381453040/4

LCM = 7345363260

Thus, we can understand that the LCM of 278,298,771,460 is 7345363260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 278, 298, 771, 460

1. What is the LCM of 278, 298, 771, 460?

Answer: LCM of 278, 298, 771, 460 is 7345363260.

2. How to calculate the LCM of 278, 298, 771, 460?

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 278, 298, 771, 460.

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}.