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LCM of 305, 160, 980, 428

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


Find the LCM of 305, 160, 980, 428 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 305, 160, 980, 428. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 305,160,980,428

Given numbers are 305,160,980,428

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

The LCM of 305,160,980,428 is 51171680.

Find LCM of 305,160,980,428 with Prime Factorization


2 305, 160, 980, 428
2 305, 80, 490, 214
5 305, 40, 245, 107
61, 8, 49, 107

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

2 x 2 x 5 x 61 x 8 x 49 x 107 = 51171680

Therefore, the lowest common multiple of 305,160,980,428 is 51171680.

LCM Formula to Find Lowest Common Multiple of 305,160,980,428

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.

305 x 160 x 980 x 428 = 20468672000

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.

305 : 1, 5, 61, 305

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

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

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,160,980,428, is 1.

Now, the common factors can be found like this.

305:5x 61

160:2x 2x 2x 2x 2x 5

980:2x 2x 5x 7x 7

428:2x 2x 107

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 5x 5 = 400

Therefore, the value for common factors is 400.

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 = 20468672000/(1x400)

LCM = 20468672000/400

LCM = 51171680

Thus, we can understand that the LCM of 305,160,980,428 is 51171680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 305, 160, 980, 428

1. What is the LCM of 305, 160, 980, 428?

Answer: LCM of 305, 160, 980, 428 is 51171680.

2. How to calculate the LCM of 305, 160, 980, 428?

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 305, 160, 980, 428.

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}.