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LCM of 542, 815, 230, 978

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


Find the LCM of 542, 815, 230, 978 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, 815, 230, 978. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 542,815,230,978

Given numbers are 542,815,230,978

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

The LCM of 542,815,230,978 is 30479370.

Find LCM of 542,815,230,978 with Prime Factorization


2 542, 815, 230, 978
5 271, 815, 115, 489
163 271, 163, 23, 489
271, 1, 23, 3

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

2 x 5 x 163 x 271 x 1 x 23 x 3 = 30479370

Therefore, the lowest common multiple of 542,815,230,978 is 30479370.

LCM Formula to Find Lowest Common Multiple of 542,815,230,978

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 815 x 230 x 978 = 99362746200

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

815 : 1, 5, 163, 815

230 : 1, 2, 5, 10, 23, 46, 115, 230

978 : 1, 2, 3, 6, 163, 326, 489, 978

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,815,230,978, is 1.

Now, the common factors can be found like this.

542:2x 271

815:5x 163

230:2x 5x 23

978:2x 3x 163

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

2x 2x 5x 163 = 3260

Therefore, the value for common factors is 3260.

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 = 99362746200/(1x3260)

LCM = 99362746200/3260

LCM = 30479370

Thus, we can understand that the LCM of 542,815,230,978 is 30479370.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 542, 815, 230, 978

1. What is the LCM of 542, 815, 230, 978?

Answer: LCM of 542, 815, 230, 978 is 30479370.

2. How to calculate the LCM of 542, 815, 230, 978?

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, 815, 230, 978.

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}.