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LCM of 123, 291, 502, 232

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


Find the LCM of 123, 291, 502, 232 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 123, 291, 502, 232. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 123,291,502,232

Given numbers are 123,291,502,232

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

The LCM of 123,291,502,232 is 694765992.

Find LCM of 123,291,502,232 with Prime Factorization


2 123, 291, 502, 232
3 123, 291, 251, 116
41, 97, 251, 116

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

2 x 3 x 41 x 97 x 251 x 116 = 694765992

Therefore, the lowest common multiple of 123,291,502,232 is 694765992.

LCM Formula to Find Lowest Common Multiple of 123,291,502,232

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.

123 x 291 x 502 x 232 = 4168595952

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.

123 : 1, 3, 41, 123

291 : 1, 3, 97, 291

502 : 1, 2, 251, 502

232 : 1, 2, 4, 8, 29, 58, 116, 232

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 123,291,502,232, is 1.

Now, the common factors can be found like this.

123:3x 41

291:3x 97

502:2x 251

232:2x 2x 2x 29

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 4168595952/(1x6)

LCM = 4168595952/6

LCM = 694765992

Thus, we can understand that the LCM of 123,291,502,232 is 694765992.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 123, 291, 502, 232

1. What is the LCM of 123, 291, 502, 232?

Answer: LCM of 123, 291, 502, 232 is 694765992.

2. How to calculate the LCM of 123, 291, 502, 232?

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 123, 291, 502, 232.

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}.