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LCM of 306, 161, 628, 942

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


Find the LCM of 306, 161, 628, 942 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 306, 161, 628, 942. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 306,161,628,942

Given numbers are 306,161,628,942

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

The LCM of 306,161,628,942 is 15469524.

Find LCM of 306,161,628,942 with Prime Factorization


2 306, 161, 628, 942
3 153, 161, 314, 471
157 51, 161, 314, 157
51, 161, 2, 1

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

2 x 3 x 157 x 51 x 161 x 2 x 1 = 15469524

Therefore, the lowest common multiple of 306,161,628,942 is 15469524.

LCM Formula to Find Lowest Common Multiple of 306,161,628,942

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.

306 x 161 x 628 x 942 = 29144583216

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.

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

161 : 1, 7, 23, 161

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

942 : 1, 2, 3, 6, 157, 314, 471, 942

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,161,628,942, is 1.

Now, the common factors can be found like this.

306:2x 3x 3x 17

161:7x 23

628:2x 2x 157

942:2x 3x 157

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 157 = 1884

Therefore, the value for common factors is 1884.

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 = 29144583216/(1x1884)

LCM = 29144583216/1884

LCM = 15469524

Thus, we can understand that the LCM of 306,161,628,942 is 15469524.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 306, 161, 628, 942

1. What is the LCM of 306, 161, 628, 942?

Answer: LCM of 306, 161, 628, 942 is 15469524.

2. How to calculate the LCM of 306, 161, 628, 942?

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 306, 161, 628, 942.

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}.