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LCM of 545, 901, 389, 710, 479

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


Find the LCM of 545, 901, 389, 710, 479 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 545, 901, 389, 710, 479. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 545,901,389,710,479

Given numbers are 545,901,389,710,479

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

The LCM of 545,901,389,710,479 is 12992560637090.

Find LCM of 545,901,389,710,479 with Prime Factorization


5 545, 901, 389, 710, 479
109, 901, 389, 142, 479

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

5 x 109 x 901 x 389 x 142 x 479 = 12992560637090

Therefore, the lowest common multiple of 545,901,389,710,479 is 12992560637090.

LCM Formula to Find Lowest Common Multiple of 545,901,389,710,479

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.

545 x 901 x 389 x 710 x 479 = 64962803185450

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.

545 : 1, 5, 109, 545

901 : 1, 17, 53, 901

389 : 1, 389

710 : 1, 2, 5, 10, 71, 142, 355, 710

479 : 1, 479

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 545,901,389,710,479, is 1.

Now, the common factors can be found like this.

545:5x 109

901:17x 53

389:389

710:2x 5x 71

479:479

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

5 = 5

Therefore, the value for common factors is 5.

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 = 64962803185450/(1x5)

LCM = 64962803185450/5

LCM = 12992560637090

Thus, we can understand that the LCM of 545,901,389,710,479 is 12992560637090.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 545, 901, 389, 710, 479

1. What is the LCM of 545, 901, 389, 710, 479?

Answer: LCM of 545, 901, 389, 710, 479 is 12992560637090.

2. How to calculate the LCM of 545, 901, 389, 710, 479?

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 545, 901, 389, 710, 479.

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}.