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LCM of 572, 603, 424, 468, 905

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


Find the LCM of 572, 603, 424, 468, 905 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 572, 603, 424, 468, 905. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 572,603,424,468,905

Given numbers are 572,603,424,468,905

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

The LCM of 572,603,424,468,905 is 33087791880.

Find LCM of 572,603,424,468,905 with Prime Factorization


2 572, 603, 424, 468, 905
2 286, 603, 212, 234, 905
3 143, 603, 106, 117, 905
3 143, 201, 106, 39, 905
13 143, 67, 106, 13, 905
11, 67, 106, 1, 905

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

2 x 2 x 3 x 3 x 13 x 11 x 67 x 106 x 1 x 905 = 33087791880

Therefore, the lowest common multiple of 572,603,424,468,905 is 33087791880.

LCM Formula to Find Lowest Common Multiple of 572,603,424,468,905

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.

572 x 603 x 424 x 468 x 905 = 61940346399360

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.

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

603 : 1, 3, 9, 67, 201, 603

424 : 1, 2, 4, 8, 53, 106, 212, 424

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

905 : 1, 5, 181, 905

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,603,424,468,905, is 1.

Now, the common factors can be found like this.

572:2x 2x 11x 13

603:3x 3x 67

424:2x 2x 2x 53

468:2x 2x 3x 3x 13

905:5x 181

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 2x 3x 3x 13 = 1872

Therefore, the value for common factors is 1872.

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 = 61940346399360/(1x1872)

LCM = 61940346399360/1872

LCM = 33087791880

Thus, we can understand that the LCM of 572,603,424,468,905 is 33087791880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 572, 603, 424, 468, 905

1. What is the LCM of 572, 603, 424, 468, 905?

Answer: LCM of 572, 603, 424, 468, 905 is 33087791880.

2. How to calculate the LCM of 572, 603, 424, 468, 905?

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 572, 603, 424, 468, 905.

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}.