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LCM of 567, 685, 548, 521, 341

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


Find the LCM of 567, 685, 548, 521, 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 567, 685, 548, 521, 341. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 567,685,548,521,341

Given numbers are 567,685,548,521,341

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

The LCM of 567,685,548,521,341 is 276010576380.

Find LCM of 567,685,548,521,341 with Prime Factorization


137 567, 685, 548, 521, 341
567, 5, 4, 521, 341

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

137 x 567 x 5 x 4 x 521 x 341 = 276010576380

Therefore, the lowest common multiple of 567,685,548,521,341 is 276010576380.

LCM Formula to Find Lowest Common Multiple of 567,685,548,521,341

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.

567 x 685 x 548 x 521 x 341 = 37813448964060

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.

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

685 : 1, 5, 137, 685

548 : 1, 2, 4, 137, 274, 548

521 : 1, 521

341 : 1, 11, 31, 341

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,685,548,521,341, is 1.

Now, the common factors can be found like this.

567:3x 3x 3x 3x 7

685:5x 137

548:2x 2x 137

521:521

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.

137 = 137

Therefore, the value for common factors is 137.

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 = 37813448964060/(1x137)

LCM = 37813448964060/137

LCM = 276010576380

Thus, we can understand that the LCM of 567,685,548,521,341 is 276010576380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 567, 685, 548, 521, 341

1. What is the LCM of 567, 685, 548, 521, 341?

Answer: LCM of 567, 685, 548, 521, 341 is 276010576380.

2. How to calculate the LCM of 567, 685, 548, 521, 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 567, 685, 548, 521, 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}.