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LCM of 302, 678, 121, 320

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


Find the LCM of 302, 678, 121, 320 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 302, 678, 121, 320. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 302,678,121,320

Given numbers are 302,678,121,320

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

The LCM of 302,678,121,320 is 1982038080.

Find LCM of 302,678,121,320 with Prime Factorization


2 302, 678, 121, 320
151, 339, 121, 160

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

2 x 151 x 339 x 121 x 160 = 1982038080

Therefore, the lowest common multiple of 302,678,121,320 is 1982038080.

LCM Formula to Find Lowest Common Multiple of 302,678,121,320

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.

302 x 678 x 121 x 320 = 7928152320

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.

302 : 1, 2, 151, 302

678 : 1, 2, 3, 6, 113, 226, 339, 678

121 : 1, 11, 121

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,678,121,320, is 1.

Now, the common factors can be found like this.

302:2x 151

678:2x 3x 113

121:11x 11

320:2x 2x 2x 2x 2x 2x 5

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 7928152320/(1x4)

LCM = 7928152320/4

LCM = 1982038080

Thus, we can understand that the LCM of 302,678,121,320 is 1982038080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 302, 678, 121, 320

1. What is the LCM of 302, 678, 121, 320?

Answer: LCM of 302, 678, 121, 320 is 1982038080.

2. How to calculate the LCM of 302, 678, 121, 320?

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 302, 678, 121, 320.

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}.