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LCM of 978, 288, 528, 846

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


Find the LCM of 978, 288, 528, 846 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, 288, 528, 846. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 978,288,528,846

Given numbers are 978,288,528,846

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

The LCM of 978,288,528,846 is 24270048.

Find LCM of 978,288,528,846 with Prime Factorization


2 978, 288, 528, 846
2 489, 144, 264, 423
2 489, 72, 132, 423
2 489, 36, 66, 423
3 489, 18, 33, 423
3 163, 6, 11, 141
163, 2, 11, 47

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

2 x 2 x 2 x 2 x 3 x 3 x 163 x 2 x 11 x 47 = 24270048

Therefore, the lowest common multiple of 978,288,528,846 is 24270048.

LCM Formula to Find Lowest Common Multiple of 978,288,528,846

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 288 x 528 x 846 = 125815928832

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

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,288,528,846, is 6.

Now, the common factors can be found like this.

978:2x 3x 163

288:2x 2x 2x 2x 2x 3x 3

528:2x 2x 2x 2x 3x 11

846:2x 3x 3x 47

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 2x 2x 2x 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 125815928832/(6x864)

LCM = 125815928832/5184

LCM = 24270048

Thus, we can understand that the LCM of 978,288,528,846 is 24270048.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 978, 288, 528, 846

1. What is the LCM of 978, 288, 528, 846?

Answer: LCM of 978, 288, 528, 846 is 24270048.

2. How to calculate the LCM of 978, 288, 528, 846?

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, 288, 528, 846.

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}.