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LCM of 904, 253, 414, 222

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


Find the LCM of 904, 253, 414, 222 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 904, 253, 414, 222. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 904,253,414,222

Given numbers are 904,253,414,222

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

The LCM of 904,253,414,222 is 76161096.

Find LCM of 904,253,414,222 with Prime Factorization


2 904, 253, 414, 222
3 452, 253, 207, 111
23 452, 253, 69, 37
452, 11, 3, 37

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

2 x 3 x 23 x 452 x 11 x 3 x 37 = 76161096

Therefore, the lowest common multiple of 904,253,414,222 is 76161096.

LCM Formula to Find Lowest Common Multiple of 904,253,414,222

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.

904 x 253 x 414 x 222 = 21020462496

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.

904 : 1, 2, 4, 8, 113, 226, 452, 904

253 : 1, 11, 23, 253

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,253,414,222, is 1.

Now, the common factors can be found like this.

904:2x 2x 2x 113

253:11x 23

414:2x 3x 3x 23

222:2x 3x 37

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 3x 23 = 276

Therefore, the value for common factors is 276.

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 = 21020462496/(1x276)

LCM = 21020462496/276

LCM = 76161096

Thus, we can understand that the LCM of 904,253,414,222 is 76161096.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 904, 253, 414, 222

1. What is the LCM of 904, 253, 414, 222?

Answer: LCM of 904, 253, 414, 222 is 76161096.

2. How to calculate the LCM of 904, 253, 414, 222?

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 904, 253, 414, 222.

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}.