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LCM of 978, 204, 833, 230

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


Find the LCM of 978, 204, 833, 230 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 978, 204, 833, 230. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 978,204,833,230

Given numbers are 978,204,833,230

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

The LCM of 978,204,833,230 is 187375020.

Find LCM of 978,204,833,230 with Prime Factorization


2 978, 204, 833, 230
3 489, 102, 833, 115
17 163, 34, 833, 115
163, 2, 49, 115

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

2 x 3 x 17 x 163 x 2 x 49 x 115 = 187375020

Therefore, the lowest common multiple of 978,204,833,230 is 187375020.

LCM Formula to Find Lowest Common Multiple of 978,204,833,230

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.

978 x 204 x 833 x 230 = 38224504080

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.

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

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

833 : 1, 7, 17, 49, 119, 833

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,204,833,230, is 1.

Now, the common factors can be found like this.

978:2x 3x 163

204:2x 2x 3x 17

833:7x 7x 17

230:2x 5x 23

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 3x 17 = 204

Therefore, the value for common factors is 204.

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 = 38224504080/(1x204)

LCM = 38224504080/204

LCM = 187375020

Thus, we can understand that the LCM of 978,204,833,230 is 187375020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 978, 204, 833, 230

1. What is the LCM of 978, 204, 833, 230?

Answer: LCM of 978, 204, 833, 230 is 187375020.

2. How to calculate the LCM of 978, 204, 833, 230?

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 978, 204, 833, 230.

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}.