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LCM of 842, 316, 270, 328

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


Find the LCM of 842, 316, 270, 328 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 842, 316, 270, 328. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 842,316,270,328

Given numbers are 842,316,270,328

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

The LCM of 842,316,270,328 is 1472708520.

Find LCM of 842,316,270,328 with Prime Factorization


2 842, 316, 270, 328
2 421, 158, 135, 164
421, 79, 135, 82

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

2 x 2 x 421 x 79 x 135 x 82 = 1472708520

Therefore, the lowest common multiple of 842,316,270,328 is 1472708520.

LCM Formula to Find Lowest Common Multiple of 842,316,270,328

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.

842 x 316 x 270 x 328 = 23563336320

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.

842 : 1, 2, 421, 842

316 : 1, 2, 4, 79, 158, 316

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

328 : 1, 2, 4, 8, 41, 82, 164, 328

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,316,270,328, is 2.

Now, the common factors can be found like this.

842:2x 421

316:2x 2x 79

270:2x 3x 3x 3x 5

328:2x 2x 2x 41

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 2 = 8

Therefore, the value for common factors is 8.

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 = 23563336320/(2x8)

LCM = 23563336320/16

LCM = 1472708520

Thus, we can understand that the LCM of 842,316,270,328 is 1472708520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 842, 316, 270, 328

1. What is the LCM of 842, 316, 270, 328?

Answer: LCM of 842, 316, 270, 328 is 1472708520.

2. How to calculate the LCM of 842, 316, 270, 328?

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 842, 316, 270, 328.

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}.