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LCM of 278, 917, 572, 239

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


Find the LCM of 278, 917, 572, 239 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, 917, 572, 239. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 278,917,572,239

Given numbers are 278,917,572,239

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

The LCM of 278,917,572,239 is 17425211804.

Find LCM of 278,917,572,239 with Prime Factorization


2 278, 917, 572, 239
139, 917, 286, 239

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

2 x 139 x 917 x 286 x 239 = 17425211804

Therefore, the lowest common multiple of 278,917,572,239 is 17425211804.

LCM Formula to Find Lowest Common Multiple of 278,917,572,239

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 917 x 572 x 239 = 34850423608

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

917 : 1, 7, 131, 917

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

239 : 1, 239

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,917,572,239, is 1.

Now, the common factors can be found like this.

278:2x 139

917:7x 131

572:2x 2x 11x 13

239:239

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 = 34850423608/(1x2)

LCM = 34850423608/2

LCM = 17425211804

Thus, we can understand that the LCM of 278,917,572,239 is 17425211804.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 278, 917, 572, 239

1. What is the LCM of 278, 917, 572, 239?

Answer: LCM of 278, 917, 572, 239 is 17425211804.

2. How to calculate the LCM of 278, 917, 572, 239?

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, 917, 572, 239.

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}.