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LCM of 541, 548, 950, 585, 828

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


Find the LCM of 541, 548, 950, 585, 828 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 541, 548, 950, 585, 828. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 541,548,950,585,828

Given numbers are 541,548,950,585,828

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

The LCM of 541,548,950,585,828 is 378952809300.

Find LCM of 541,548,950,585,828 with Prime Factorization


2 541, 548, 950, 585, 828
2 541, 274, 475, 585, 414
3 541, 137, 475, 585, 207
3 541, 137, 475, 195, 69
5 541, 137, 475, 65, 23
541, 137, 95, 13, 23

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

2 x 2 x 3 x 3 x 5 x 541 x 137 x 95 x 13 x 23 = 378952809300

Therefore, the lowest common multiple of 541,548,950,585,828 is 378952809300.

LCM Formula to Find Lowest Common Multiple of 541,548,950,585,828

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.

541 x 548 x 950 x 585 x 828 = 136423011348000

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.

541 : 1, 541

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

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 541,548,950,585,828, is 1.

Now, the common factors can be found like this.

541:541

548:2x 2x 137

950:2x 5x 5x 19

585:3x 3x 5x 13

828:2x 2x 3x 3x 23

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

2x 2x 2x 3x 3x 5 = 360

Therefore, the value for common factors is 360.

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 = 136423011348000/(1x360)

LCM = 136423011348000/360

LCM = 378952809300

Thus, we can understand that the LCM of 541,548,950,585,828 is 378952809300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 541, 548, 950, 585, 828

1. What is the LCM of 541, 548, 950, 585, 828?

Answer: LCM of 541, 548, 950, 585, 828 is 378952809300.

2. How to calculate the LCM of 541, 548, 950, 585, 828?

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 541, 548, 950, 585, 828.

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}.