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LCM of 542, 334, 763, 472, 589

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


Find the LCM of 542, 334, 763, 472, 589 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 542, 334, 763, 472, 589. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 542,334,763,472,589

Given numbers are 542,334,763,472,589

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

The LCM of 542,334,763,472,589 is 9599919546728.

Find LCM of 542,334,763,472,589 with Prime Factorization


2 542, 334, 763, 472, 589
271, 167, 763, 236, 589

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

2 x 271 x 167 x 763 x 236 x 589 = 9599919546728

Therefore, the lowest common multiple of 542,334,763,472,589 is 9599919546728.

LCM Formula to Find Lowest Common Multiple of 542,334,763,472,589

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.

542 x 334 x 763 x 472 x 589 = 38399678186912

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.

542 : 1, 2, 271, 542

334 : 1, 2, 167, 334

763 : 1, 7, 109, 763

472 : 1, 2, 4, 8, 59, 118, 236, 472

589 : 1, 19, 31, 589

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,334,763,472,589, is 1.

Now, the common factors can be found like this.

542:2x 271

334:2x 167

763:7x 109

472:2x 2x 2x 59

589:19x 31

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 38399678186912/(1x4)

LCM = 38399678186912/4

LCM = 9599919546728

Thus, we can understand that the LCM of 542,334,763,472,589 is 9599919546728.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 542, 334, 763, 472, 589

1. What is the LCM of 542, 334, 763, 472, 589?

Answer: LCM of 542, 334, 763, 472, 589 is 9599919546728.

2. How to calculate the LCM of 542, 334, 763, 472, 589?

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 542, 334, 763, 472, 589.

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}.