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 654, 303, 371, 349

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


Find the LCM of 654, 303, 371, 349 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 654, 303, 371, 349. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 654,303,371,349

Given numbers are 654,303,371,349

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

The LCM of 654,303,371,349 is 8552605866.

Find LCM of 654,303,371,349 with Prime Factorization


3 654, 303, 371, 349
218, 101, 371, 349

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

3 x 218 x 101 x 371 x 349 = 8552605866

Therefore, the lowest common multiple of 654,303,371,349 is 8552605866.

LCM Formula to Find Lowest Common Multiple of 654,303,371,349

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.

654 x 303 x 371 x 349 = 25657817598

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.

654 : 1, 2, 3, 6, 109, 218, 327, 654

303 : 1, 3, 101, 303

371 : 1, 7, 53, 371

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,303,371,349, is 1.

Now, the common factors can be found like this.

654:2x 3x 109

303:3x 101

371:7x 53

349:349

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

3 = 3

Therefore, the value for common factors is 3.

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 = 25657817598/(1x3)

LCM = 25657817598/3

LCM = 8552605866

Thus, we can understand that the LCM of 654,303,371,349 is 8552605866.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 654, 303, 371, 349

1. What is the LCM of 654, 303, 371, 349?

Answer: LCM of 654, 303, 371, 349 is 8552605866.

2. How to calculate the LCM of 654, 303, 371, 349?

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 654, 303, 371, 349.

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}.