LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 619, 601, 408, 989, 490

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


Find the LCM of 619, 601, 408, 989, 490 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 619, 601, 408, 989, 490. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 619,601,408,989,490

Given numbers are 619,601,408,989,490

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

The LCM of 619,601,408,989,490 is 36777962028360.

Find LCM of 619,601,408,989,490 with Prime Factorization


2 619, 601, 408, 989, 490
619, 601, 204, 989, 245

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

2 x 619 x 601 x 204 x 989 x 245 = 36777962028360

Therefore, the lowest common multiple of 619,601,408,989,490 is 36777962028360.

LCM Formula to Find Lowest Common Multiple of 619,601,408,989,490

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.

619 x 601 x 408 x 989 x 490 = 73555924056720

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.

619 : 1, 619

601 : 1, 601

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

989 : 1, 23, 43, 989

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 619,601,408,989,490, is 1.

Now, the common factors can be found like this.

619:619

601:601

408:2x 2x 2x 3x 17

989:23x 43

490:2x 5x 7x 7

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 = 73555924056720/(1x2)

LCM = 73555924056720/2

LCM = 36777962028360

Thus, we can understand that the LCM of 619,601,408,989,490 is 36777962028360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 619, 601, 408, 989, 490

1. What is the LCM of 619, 601, 408, 989, 490?

Answer: LCM of 619, 601, 408, 989, 490 is 36777962028360.

2. How to calculate the LCM of 619, 601, 408, 989, 490?

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 619, 601, 408, 989, 490.

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}.