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LCM of 237, 374, 628, 912, 174

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


Find the LCM of 237, 374, 628, 912, 174 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 237, 374, 628, 912, 174. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 237,374,628,912,174

Given numbers are 237,374,628,912,174

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

The LCM of 237,374,628,912,174 is 61342459728.

Find LCM of 237,374,628,912,174 with Prime Factorization


2 237, 374, 628, 912, 174
2 237, 187, 314, 456, 87
3 237, 187, 157, 228, 87
79, 187, 157, 76, 29

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

2 x 2 x 3 x 79 x 187 x 157 x 76 x 29 = 61342459728

Therefore, the lowest common multiple of 237,374,628,912,174 is 61342459728.

LCM Formula to Find Lowest Common Multiple of 237,374,628,912,174

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.

237 x 374 x 628 x 912 x 174 = 8833314200832

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.

237 : 1, 3, 79, 237

374 : 1, 2, 11, 17, 22, 34, 187, 374

628 : 1, 2, 4, 157, 314, 628

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

174 : 1, 2, 3, 6, 29, 58, 87, 174

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 237,374,628,912,174, is 1.

Now, the common factors can be found like this.

237:3x 79

374:2x 11x 17

628:2x 2x 157

912:2x 2x 2x 2x 3x 19

174:2x 3x 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 2x 2x 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 8833314200832/(1x144)

LCM = 8833314200832/144

LCM = 61342459728

Thus, we can understand that the LCM of 237,374,628,912,174 is 61342459728.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 237, 374, 628, 912, 174

1. What is the LCM of 237, 374, 628, 912, 174?

Answer: LCM of 237, 374, 628, 912, 174 is 61342459728.

2. How to calculate the LCM of 237, 374, 628, 912, 174?

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 237, 374, 628, 912, 174.

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}.