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LCM of 794, 459, 510, 341

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


Find the LCM of 794, 459, 510, 341 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 794, 459, 510, 341. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 794,459,510,341

Given numbers are 794,459,510,341

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

The LCM of 794,459,510,341 is 621380430.

Find LCM of 794,459,510,341 with Prime Factorization


2 794, 459, 510, 341
3 397, 459, 255, 341
17 397, 153, 85, 341
397, 9, 5, 341

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

2 x 3 x 17 x 397 x 9 x 5 x 341 = 621380430

Therefore, the lowest common multiple of 794,459,510,341 is 621380430.

LCM Formula to Find Lowest Common Multiple of 794,459,510,341

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.

794 x 459 x 510 x 341 = 63380803860

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.

794 : 1, 2, 397, 794

459 : 1, 3, 9, 17, 27, 51, 153, 459

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

341 : 1, 11, 31, 341

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 794,459,510,341, is 1.

Now, the common factors can be found like this.

794:2x 397

459:3x 3x 3x 17

510:2x 3x 5x 17

341:11x 31

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

2x 3x 17 = 102

Therefore, the value for common factors is 102.

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 = 63380803860/(1x102)

LCM = 63380803860/102

LCM = 621380430

Thus, we can understand that the LCM of 794,459,510,341 is 621380430.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 794, 459, 510, 341

1. What is the LCM of 794, 459, 510, 341?

Answer: LCM of 794, 459, 510, 341 is 621380430.

2. How to calculate the LCM of 794, 459, 510, 341?

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 794, 459, 510, 341.

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}.