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LCM of 309, 978, 501, 338

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


Find the LCM of 309, 978, 501, 338 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 309, 978, 501, 338. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 309,978,501,338

Given numbers are 309,978,501,338

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

The LCM of 309,978,501,338 is 2843015682.

Find LCM of 309,978,501,338 with Prime Factorization


2 309, 978, 501, 338
3 309, 489, 501, 169
103, 163, 167, 169

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

2 x 3 x 103 x 163 x 167 x 169 = 2843015682

Therefore, the lowest common multiple of 309,978,501,338 is 2843015682.

LCM Formula to Find Lowest Common Multiple of 309,978,501,338

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.

309 x 978 x 501 x 338 = 51174282276

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.

309 : 1, 3, 103, 309

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

501 : 1, 3, 167, 501

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,978,501,338, is 1.

Now, the common factors can be found like this.

309:3x 103

978:2x 3x 163

501:3x 167

338:2x 13x 13

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 51174282276/(1x18)

LCM = 51174282276/18

LCM = 2843015682

Thus, we can understand that the LCM of 309,978,501,338 is 2843015682.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 309, 978, 501, 338

1. What is the LCM of 309, 978, 501, 338?

Answer: LCM of 309, 978, 501, 338 is 2843015682.

2. How to calculate the LCM of 309, 978, 501, 338?

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 309, 978, 501, 338.

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}.