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LCM of 325, 341, 919, 774, 758

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


Find the LCM of 325, 341, 919, 774, 758 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 325, 341, 919, 774, 758. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 325,341,919,774,758

Given numbers are 325,341,919,774,758

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

The LCM of 325,341,919,774,758 is 29876754743550.

Find LCM of 325,341,919,774,758 with Prime Factorization


2 325, 341, 919, 774, 758
325, 341, 919, 387, 379

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

2 x 325 x 341 x 919 x 387 x 379 = 29876754743550

Therefore, the lowest common multiple of 325,341,919,774,758 is 29876754743550.

LCM Formula to Find Lowest Common Multiple of 325,341,919,774,758

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.

325 x 341 x 919 x 774 x 758 = 59753509487100

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.

325 : 1, 5, 13, 25, 65, 325

341 : 1, 11, 31, 341

919 : 1, 919

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

758 : 1, 2, 379, 758

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 325,341,919,774,758, is 1.

Now, the common factors can be found like this.

325:5x 5x 13

341:11x 31

919:919

774:2x 3x 3x 43

758:2x 379

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 = 59753509487100/(1x2)

LCM = 59753509487100/2

LCM = 29876754743550

Thus, we can understand that the LCM of 325,341,919,774,758 is 29876754743550.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 325, 341, 919, 774, 758

1. What is the LCM of 325, 341, 919, 774, 758?

Answer: LCM of 325, 341, 919, 774, 758 is 29876754743550.

2. How to calculate the LCM of 325, 341, 919, 774, 758?

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 325, 341, 919, 774, 758.

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}.