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LCM of 305, 628, 148, 156, 629

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


Find the LCM of 305, 628, 148, 156, 629 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 305, 628, 148, 156, 629. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 305,628,148,156,629

Given numbers are 305,628,148,156,629

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

The LCM of 305,628,148,156,629 is 4698667740.

Find LCM of 305,628,148,156,629 with Prime Factorization


2 305, 628, 148, 156, 629
2 305, 314, 74, 78, 629
37 305, 157, 37, 39, 629
305, 157, 1, 39, 17

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

2 x 2 x 37 x 305 x 157 x 1 x 39 x 17 = 4698667740

Therefore, the lowest common multiple of 305,628,148,156,629 is 4698667740.

LCM Formula to Find Lowest Common Multiple of 305,628,148,156,629

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.

305 x 628 x 148 x 156 x 629 = 2781611302080

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.

305 : 1, 5, 61, 305

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

148 : 1, 2, 4, 37, 74, 148

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

629 : 1, 17, 37, 629

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,628,148,156,629, is 1.

Now, the common factors can be found like this.

305:5x 61

628:2x 2x 157

148:2x 2x 37

156:2x 2x 3x 13

629:17x 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 2x 2x 37 = 592

Therefore, the value for common factors is 592.

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 = 2781611302080/(1x592)

LCM = 2781611302080/592

LCM = 4698667740

Thus, we can understand that the LCM of 305,628,148,156,629 is 4698667740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 305, 628, 148, 156, 629

1. What is the LCM of 305, 628, 148, 156, 629?

Answer: LCM of 305, 628, 148, 156, 629 is 4698667740.

2. How to calculate the LCM of 305, 628, 148, 156, 629?

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 305, 628, 148, 156, 629.

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}.