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LCM of 770, 459, 321, 220

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


Find the LCM of 770, 459, 321, 220 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 770, 459, 321, 220. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 770,459,321,220

Given numbers are 770,459,321,220

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

The LCM of 770,459,321,220 is 75634020.

Find LCM of 770,459,321,220 with Prime Factorization


2 770, 459, 321, 220
3 385, 459, 321, 110
5 385, 153, 107, 110
11 77, 153, 107, 22
7, 153, 107, 2

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

2 x 3 x 5 x 11 x 7 x 153 x 107 x 2 = 75634020

Therefore, the lowest common multiple of 770,459,321,220 is 75634020.

LCM Formula to Find Lowest Common Multiple of 770,459,321,220

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.

770 x 459 x 321 x 220 = 24959226600

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.

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

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

321 : 1, 3, 107, 321

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,459,321,220, is 1.

Now, the common factors can be found like this.

770:2x 5x 7x 11

459:3x 3x 3x 17

321:3x 107

220:2x 2x 5x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 5x 11 = 330

Therefore, the value for common factors is 330.

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 = 24959226600/(1x330)

LCM = 24959226600/330

LCM = 75634020

Thus, we can understand that the LCM of 770,459,321,220 is 75634020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 770, 459, 321, 220

1. What is the LCM of 770, 459, 321, 220?

Answer: LCM of 770, 459, 321, 220 is 75634020.

2. How to calculate the LCM of 770, 459, 321, 220?

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 770, 459, 321, 220.

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}.