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LCM of 301, 346, 540, 841, 825

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


Find the LCM of 301, 346, 540, 841, 825 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 301, 346, 540, 841, 825. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 301,346,540,841,825

Given numbers are 301,346,540,841,825

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

The LCM of 301,346,540,841,825 is 1300663772100.

Find LCM of 301,346,540,841,825 with Prime Factorization


2 301, 346, 540, 841, 825
3 301, 173, 270, 841, 825
5 301, 173, 90, 841, 275
301, 173, 18, 841, 55

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

2 x 3 x 5 x 301 x 173 x 18 x 841 x 55 = 1300663772100

Therefore, the lowest common multiple of 301,346,540,841,825 is 1300663772100.

LCM Formula to Find Lowest Common Multiple of 301,346,540,841,825

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.

301 x 346 x 540 x 841 x 825 = 39019913163000

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.

301 : 1, 7, 43, 301

346 : 1, 2, 173, 346

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

841 : 1, 29, 841

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 301,346,540,841,825, is 1.

Now, the common factors can be found like this.

301:7x 43

346:2x 173

540:2x 2x 3x 3x 3x 5

841:29x 29

825:3x 5x 5x 11

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 5 = 30

Therefore, the value for common factors is 30.

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 = 39019913163000/(1x30)

LCM = 39019913163000/30

LCM = 1300663772100

Thus, we can understand that the LCM of 301,346,540,841,825 is 1300663772100.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 301, 346, 540, 841, 825

1. What is the LCM of 301, 346, 540, 841, 825?

Answer: LCM of 301, 346, 540, 841, 825 is 1300663772100.

2. How to calculate the LCM of 301, 346, 540, 841, 825?

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 301, 346, 540, 841, 825.

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}.