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 617, 679, 419, 419

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


Find the LCM of 617, 679, 419, 419 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 617, 679, 419, 419. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 617,679,419,419

Given numbers are 617,679,419,419

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

The LCM of 617,679,419,419 is 175537117.

Find LCM of 617,679,419,419 with Prime Factorization


419 617, 679, 419, 419
617, 679, 1, 1

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

419 x 617 x 679 x 1 x 1 = 175537117

Therefore, the lowest common multiple of 617,679,419,419 is 175537117.

LCM Formula to Find Lowest Common Multiple of 617,679,419,419

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.

617 x 679 x 419 x 419 = 73550052023

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.

617 : 1, 617

679 : 1, 7, 97, 679

419 : 1, 419

419 : 1, 419

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 617,679,419,419, is 1.

Now, the common factors can be found like this.

617:617

679:7x 97

419:419

419:419

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

419 = 419

Therefore, the value for common factors is 419.

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 = 73550052023/(1x419)

LCM = 73550052023/419

LCM = 175537117

Thus, we can understand that the LCM of 617,679,419,419 is 175537117.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 617, 679, 419, 419

1. What is the LCM of 617, 679, 419, 419?

Answer: LCM of 617, 679, 419, 419 is 175537117.

2. How to calculate the LCM of 617, 679, 419, 419?

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 617, 679, 419, 419.

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}.