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LCM of 842, 727, 959, 224

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


Find the LCM of 842, 727, 959, 224 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, 727, 959, 224. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 842,727,959,224

Given numbers are 842,727,959,224

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

The LCM of 842,727,959,224 is 9392584096.

Find LCM of 842,727,959,224 with Prime Factorization


2 842, 727, 959, 224
7 421, 727, 959, 112
421, 727, 137, 16

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

2 x 7 x 421 x 727 x 137 x 16 = 9392584096

Therefore, the lowest common multiple of 842,727,959,224 is 9392584096.

LCM Formula to Find Lowest Common Multiple of 842,727,959,224

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 727 x 959 x 224 = 131496177344

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

727 : 1, 727

959 : 1, 7, 137, 959

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,727,959,224, is 1.

Now, the common factors can be found like this.

842:2x 421

727:727

959:7x 137

224:2x 2x 2x 2x 2x 7

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 131496177344/(1x14)

LCM = 131496177344/14

LCM = 9392584096

Thus, we can understand that the LCM of 842,727,959,224 is 9392584096.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 842, 727, 959, 224

1. What is the LCM of 842, 727, 959, 224?

Answer: LCM of 842, 727, 959, 224 is 9392584096.

2. How to calculate the LCM of 842, 727, 959, 224?

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, 727, 959, 224.

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}.