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LCM of 960, 220, 978, 221

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


Find the LCM of 960, 220, 978, 221 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 960, 220, 978, 221. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 960,220,978,221

Given numbers are 960,220,978,221

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

The LCM of 960,220,978,221 is 380402880.

Find LCM of 960,220,978,221 with Prime Factorization


2 960, 220, 978, 221
2 480, 110, 489, 221
3 240, 55, 489, 221
5 80, 55, 163, 221
16, 11, 163, 221

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

2 x 2 x 3 x 5 x 16 x 11 x 163 x 221 = 380402880

Therefore, the lowest common multiple of 960,220,978,221 is 380402880.

LCM Formula to Find Lowest Common Multiple of 960,220,978,221

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.

960 x 220 x 978 x 221 = 45648345600

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.

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

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

221 : 1, 13, 17, 221

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,220,978,221, is 1.

Now, the common factors can be found like this.

960:2x 2x 2x 2x 2x 2x 3x 5

220:2x 2x 5x 11

978:2x 3x 163

221:13x 17

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 3x 5 = 120

Therefore, the value for common factors is 120.

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 = 45648345600/(1x120)

LCM = 45648345600/120

LCM = 380402880

Thus, we can understand that the LCM of 960,220,978,221 is 380402880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 960, 220, 978, 221

1. What is the LCM of 960, 220, 978, 221?

Answer: LCM of 960, 220, 978, 221 is 380402880.

2. How to calculate the LCM of 960, 220, 978, 221?

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 960, 220, 978, 221.

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}.