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LCM of 978, 310, 980, 459, 230

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


Find the LCM of 978, 310, 980, 459, 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, 310, 980, 459, 230. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 978,310,980,459,230

Given numbers are 978,310,980,459,230

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

The LCM of 978,310,980,459,230 is 52277630580.

Find LCM of 978,310,980,459,230 with Prime Factorization


2 978, 310, 980, 459, 230
3 489, 155, 490, 459, 115
5 163, 155, 490, 153, 115
163, 31, 98, 153, 23

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

2 x 3 x 5 x 163 x 31 x 98 x 153 x 23 = 52277630580

Therefore, the lowest common multiple of 978,310,980,459,230 is 52277630580.

LCM Formula to Find Lowest Common Multiple of 978,310,980,459,230

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 310 x 980 x 459 x 230 = 31366578348000

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

310 : 1, 2, 5, 10, 31, 62, 155, 310

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

459 : 1, 3, 9, 17, 27, 51, 153, 459

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 978,310,980,459,230, is 1.

Now, the common factors can be found like this.

978:2x 3x 163

310:2x 5x 31

980:2x 2x 5x 7x 7

459:3x 3x 3x 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 2x 3x 5x 5 = 600

Therefore, the value for common factors is 600.

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 = 31366578348000/(1x600)

LCM = 31366578348000/600

LCM = 52277630580

Thus, we can understand that the LCM of 978,310,980,459,230 is 52277630580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 978, 310, 980, 459, 230

1. What is the LCM of 978, 310, 980, 459, 230?

Answer: LCM of 978, 310, 980, 459, 230 is 52277630580.

2. How to calculate the LCM of 978, 310, 980, 459, 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, 310, 980, 459, 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}.