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LCM of 592, 473, 222, 526

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


Find the LCM of 592, 473, 222, 526 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 592, 473, 222, 526. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 592,473,222,526

Given numbers are 592,473,222,526

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

The LCM of 592,473,222,526 is 220932624.

Find LCM of 592,473,222,526 with Prime Factorization


2 592, 473, 222, 526
37 296, 473, 111, 263
8, 473, 3, 263

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

2 x 37 x 8 x 473 x 3 x 263 = 220932624

Therefore, the lowest common multiple of 592,473,222,526 is 220932624.

LCM Formula to Find Lowest Common Multiple of 592,473,222,526

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.

592 x 473 x 222 x 526 = 32698028352

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.

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

473 : 1, 11, 43, 473

222 : 1, 2, 3, 6, 37, 74, 111, 222

526 : 1, 2, 263, 526

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 592,473,222,526, is 1.

Now, the common factors can be found like this.

592:2x 2x 2x 2x 37

473:11x 43

222:2x 3x 37

526:2x 263

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 37 = 148

Therefore, the value for common factors is 148.

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 = 32698028352/(1x148)

LCM = 32698028352/148

LCM = 220932624

Thus, we can understand that the LCM of 592,473,222,526 is 220932624.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 592, 473, 222, 526

1. What is the LCM of 592, 473, 222, 526?

Answer: LCM of 592, 473, 222, 526 is 220932624.

2. How to calculate the LCM of 592, 473, 222, 526?

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 592, 473, 222, 526.

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}.