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LCM of 922, 208, 223, 442

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


Find the LCM of 922, 208, 223, 442 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 922, 208, 223, 442. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 922,208,223,442

Given numbers are 922,208,223,442

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

The LCM of 922,208,223,442 is 363511408.

Find LCM of 922,208,223,442 with Prime Factorization


2 922, 208, 223, 442
13 461, 104, 223, 221
461, 8, 223, 17

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

2 x 13 x 461 x 8 x 223 x 17 = 363511408

Therefore, the lowest common multiple of 922,208,223,442 is 363511408.

LCM Formula to Find Lowest Common Multiple of 922,208,223,442

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.

922 x 208 x 223 x 442 = 18902593216

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.

922 : 1, 2, 461, 922

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

223 : 1, 223

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 922,208,223,442, is 1.

Now, the common factors can be found like this.

922:2x 461

208:2x 2x 2x 2x 13

223:223

442:2x 13x 17

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 13 = 52

Therefore, the value for common factors is 52.

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 = 18902593216/(1x52)

LCM = 18902593216/52

LCM = 363511408

Thus, we can understand that the LCM of 922,208,223,442 is 363511408.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 922, 208, 223, 442

1. What is the LCM of 922, 208, 223, 442?

Answer: LCM of 922, 208, 223, 442 is 363511408.

2. How to calculate the LCM of 922, 208, 223, 442?

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 922, 208, 223, 442.

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}.