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LCM of 978, 918, 351, 323, 556

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


Find the LCM of 978, 918, 351, 323, 556 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, 918, 351, 323, 556. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 978,918,351,323,556

Given numbers are 978,918,351,323,556

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

The LCM of 978,918,351,323,556 is 10274768244.

Find LCM of 978,918,351,323,556 with Prime Factorization


2 978, 918, 351, 323, 556
3 489, 459, 351, 323, 278
3 163, 153, 117, 323, 278
3 163, 51, 39, 323, 278
17 163, 17, 13, 323, 278
163, 1, 13, 19, 278

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

2 x 3 x 3 x 3 x 17 x 163 x 1 x 13 x 19 x 278 = 10274768244

Therefore, the lowest common multiple of 978,918,351,323,556 is 10274768244.

LCM Formula to Find Lowest Common Multiple of 978,918,351,323,556

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 918 x 351 x 323 x 556 = 56593423487952

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

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

351 : 1, 3, 9, 13, 27, 39, 117, 351

323 : 1, 17, 19, 323

556 : 1, 2, 4, 139, 278, 556

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,918,351,323,556, is 1.

Now, the common factors can be found like this.

978:2x 3x 163

918:2x 3x 3x 3x 17

351:3x 3x 3x 13

323:17x 19

556:2x 2x 139

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 3x 3x 3x 17 = 5508

Therefore, the value for common factors is 5508.

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 = 56593423487952/(1x5508)

LCM = 56593423487952/5508

LCM = 10274768244

Thus, we can understand that the LCM of 978,918,351,323,556 is 10274768244.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 978, 918, 351, 323, 556

1. What is the LCM of 978, 918, 351, 323, 556?

Answer: LCM of 978, 918, 351, 323, 556 is 10274768244.

2. How to calculate the LCM of 978, 918, 351, 323, 556?

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, 918, 351, 323, 556.

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}.