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LCM of 279, 147, 671, 293, 340

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


Find the LCM of 279, 147, 671, 293, 340 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 279, 147, 671, 293, 340. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 279,147,671,293,340

Given numbers are 279,147,671,293,340

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

The LCM of 279,147,671,293,340 is 913838268420.

Find LCM of 279,147,671,293,340 with Prime Factorization


3 279, 147, 671, 293, 340
93, 49, 671, 293, 340

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

3 x 93 x 49 x 671 x 293 x 340 = 913838268420

Therefore, the lowest common multiple of 279,147,671,293,340 is 913838268420.

LCM Formula to Find Lowest Common Multiple of 279,147,671,293,340

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.

279 x 147 x 671 x 293 x 340 = 2741514805260

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.

279 : 1, 3, 9, 31, 93, 279

147 : 1, 3, 7, 21, 49, 147

671 : 1, 11, 61, 671

293 : 1, 293

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,147,671,293,340, is 1.

Now, the common factors can be found like this.

279:3x 3x 31

147:3x 7x 7

671:11x 61

293:293

340:2x 2x 5x 17

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

3 = 3

Therefore, the value for common factors is 3.

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 = 2741514805260/(1x3)

LCM = 2741514805260/3

LCM = 913838268420

Thus, we can understand that the LCM of 279,147,671,293,340 is 913838268420.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 279, 147, 671, 293, 340

1. What is the LCM of 279, 147, 671, 293, 340?

Answer: LCM of 279, 147, 671, 293, 340 is 913838268420.

2. How to calculate the LCM of 279, 147, 671, 293, 340?

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 279, 147, 671, 293, 340.

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}.