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 314, 551, 901, 773, 560

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


Find the LCM of 314, 551, 901, 773, 560 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 314, 551, 901, 773, 560. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 314,551,901,773,560

Given numbers are 314,551,901,773,560

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

The LCM of 314,551,901,773,560 is 33739882294160.

Find LCM of 314,551,901,773,560 with Prime Factorization


2 314, 551, 901, 773, 560
157, 551, 901, 773, 280

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

2 x 157 x 551 x 901 x 773 x 280 = 33739882294160

Therefore, the lowest common multiple of 314,551,901,773,560 is 33739882294160.

LCM Formula to Find Lowest Common Multiple of 314,551,901,773,560

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.

314 x 551 x 901 x 773 x 560 = 67479764588320

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.

314 : 1, 2, 157, 314

551 : 1, 19, 29, 551

901 : 1, 17, 53, 901

773 : 1, 773

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,551,901,773,560, is 1.

Now, the common factors can be found like this.

314:2x 157

551:19x 29

901:17x 53

773:773

560:2x 2x 2x 2x 5x 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 = 67479764588320/(1x2)

LCM = 67479764588320/2

LCM = 33739882294160

Thus, we can understand that the LCM of 314,551,901,773,560 is 33739882294160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 314, 551, 901, 773, 560

1. What is the LCM of 314, 551, 901, 773, 560?

Answer: LCM of 314, 551, 901, 773, 560 is 33739882294160.

2. How to calculate the LCM of 314, 551, 901, 773, 560?

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 314, 551, 901, 773, 560.

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}.