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LCM of 842, 836, 152, 522

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


Find the LCM of 842, 836, 152, 522 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, 836, 152, 522. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 842,836,152,522

Given numbers are 842,836,152,522

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

The LCM of 842,836,152,522 is 183721032.

Find LCM of 842,836,152,522 with Prime Factorization


2 842, 836, 152, 522
2 421, 418, 76, 261
19 421, 209, 38, 261
421, 11, 2, 261

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

2 x 2 x 19 x 421 x 11 x 2 x 261 = 183721032

Therefore, the lowest common multiple of 842,836,152,522 is 183721032.

LCM Formula to Find Lowest Common Multiple of 842,836,152,522

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 836 x 152 x 522 = 55851193728

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

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

152 : 1, 2, 4, 8, 19, 38, 76, 152

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,836,152,522, is 2.

Now, the common factors can be found like this.

842:2x 421

836:2x 2x 11x 19

152:2x 2x 2x 19

522:2x 3x 3x 29

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 19 = 152

Therefore, the value for common factors is 152.

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 = 55851193728/(2x152)

LCM = 55851193728/304

LCM = 183721032

Thus, we can understand that the LCM of 842,836,152,522 is 183721032.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 842, 836, 152, 522

1. What is the LCM of 842, 836, 152, 522?

Answer: LCM of 842, 836, 152, 522 is 183721032.

2. How to calculate the LCM of 842, 836, 152, 522?

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, 836, 152, 522.

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}.