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LCM of 614, 462, 590, 603

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


Find the LCM of 614, 462, 590, 603 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 614, 462, 590, 603. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 614,462,590,603

Given numbers are 614,462,590,603

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

The LCM of 614,462,590,603 is 8410047030.

Find LCM of 614,462,590,603 with Prime Factorization


2 614, 462, 590, 603
3 307, 231, 295, 603
307, 77, 295, 201

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

2 x 3 x 307 x 77 x 295 x 201 = 8410047030

Therefore, the lowest common multiple of 614,462,590,603 is 8410047030.

LCM Formula to Find Lowest Common Multiple of 614,462,590,603

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.

614 x 462 x 590 x 603 = 100920564360

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.

614 : 1, 2, 307, 614

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

590 : 1, 2, 5, 10, 59, 118, 295, 590

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,462,590,603, is 1.

Now, the common factors can be found like this.

614:2x 307

462:2x 3x 7x 11

590:2x 5x 59

603:3x 3x 67

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 3 = 12

Therefore, the value for common factors is 12.

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 = 100920564360/(1x12)

LCM = 100920564360/12

LCM = 8410047030

Thus, we can understand that the LCM of 614,462,590,603 is 8410047030.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 614, 462, 590, 603

1. What is the LCM of 614, 462, 590, 603?

Answer: LCM of 614, 462, 590, 603 is 8410047030.

2. How to calculate the LCM of 614, 462, 590, 603?

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 614, 462, 590, 603.

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}.