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LCM of 623, 428, 961, 176, 422

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


Find the LCM of 623, 428, 961, 176, 422 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 623, 428, 961, 176, 422. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 623,428,961,176,422

Given numbers are 623,428,961,176,422

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

The LCM of 623,428,961,176,422 is 2378977503056.

Find LCM of 623,428,961,176,422 with Prime Factorization


2 623, 428, 961, 176, 422
2 623, 214, 961, 88, 211
623, 107, 961, 44, 211

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

2 x 2 x 623 x 107 x 961 x 44 x 211 = 2378977503056

Therefore, the lowest common multiple of 623,428,961,176,422 is 2378977503056.

LCM Formula to Find Lowest Common Multiple of 623,428,961,176,422

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.

623 x 428 x 961 x 176 x 422 = 19031820024448

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.

623 : 1, 7, 89, 623

428 : 1, 2, 4, 107, 214, 428

961 : 1, 31, 961

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

422 : 1, 2, 211, 422

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 623,428,961,176,422, is 1.

Now, the common factors can be found like this.

623:7x 89

428:2x 2x 107

961:31x 31

176:2x 2x 2x 2x 11

422:2x 211

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 2 = 8

Therefore, the value for common factors is 8.

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 = 19031820024448/(1x8)

LCM = 19031820024448/8

LCM = 2378977503056

Thus, we can understand that the LCM of 623,428,961,176,422 is 2378977503056.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 623, 428, 961, 176, 422

1. What is the LCM of 623, 428, 961, 176, 422?

Answer: LCM of 623, 428, 961, 176, 422 is 2378977503056.

2. How to calculate the LCM of 623, 428, 961, 176, 422?

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 623, 428, 961, 176, 422.

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}.