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LCM of 978, 646, 978, 438

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


Find the LCM of 978, 646, 978, 438 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, 646, 978, 438. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 978,646,978,438

Given numbers are 978,646,978,438

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

The LCM of 978,646,978,438 is 23060262.

Find LCM of 978,646,978,438 with Prime Factorization


2 978, 646, 978, 438
3 489, 323, 489, 219
163 163, 323, 163, 73
1, 323, 1, 73

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

2 x 3 x 163 x 1 x 323 x 1 x 73 = 23060262

Therefore, the lowest common multiple of 978,646,978,438 is 23060262.

LCM Formula to Find Lowest Common Multiple of 978,646,978,438

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 646 x 978 x 438 = 270635234832

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

646 : 1, 2, 17, 19, 34, 38, 323, 646

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

438 : 1, 2, 3, 6, 73, 146, 219, 438

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,646,978,438, is 2.

Now, the common factors can be found like this.

978:2x 3x 163

646:2x 17x 19

978:2x 3x 163

438:2x 3x 73

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 163 = 5868

Therefore, the value for common factors is 5868.

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 = 270635234832/(2x5868)

LCM = 270635234832/11736

LCM = 23060262

Thus, we can understand that the LCM of 978,646,978,438 is 23060262.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 978, 646, 978, 438

1. What is the LCM of 978, 646, 978, 438?

Answer: LCM of 978, 646, 978, 438 is 23060262.

2. How to calculate the LCM of 978, 646, 978, 438?

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, 646, 978, 438.

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}.