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LCM of 303, 121, 106, 966

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


Find the LCM of 303, 121, 106, 966 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 303, 121, 106, 966. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 303,121,106,966

Given numbers are 303,121,106,966

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

The LCM of 303,121,106,966 is 625690758.

Find LCM of 303,121,106,966 with Prime Factorization


2 303, 121, 106, 966
3 303, 121, 53, 483
101, 121, 53, 161

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

2 x 3 x 101 x 121 x 53 x 161 = 625690758

Therefore, the lowest common multiple of 303,121,106,966 is 625690758.

LCM Formula to Find Lowest Common Multiple of 303,121,106,966

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.

303 x 121 x 106 x 966 = 3754144548

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.

303 : 1, 3, 101, 303

121 : 1, 11, 121

106 : 1, 2, 53, 106

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,121,106,966, is 1.

Now, the common factors can be found like this.

303:3x 101

121:11x 11

106:2x 53

966:2x 3x 7x 23

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 = 3754144548/(1x6)

LCM = 3754144548/6

LCM = 625690758

Thus, we can understand that the LCM of 303,121,106,966 is 625690758.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 303, 121, 106, 966

1. What is the LCM of 303, 121, 106, 966?

Answer: LCM of 303, 121, 106, 966 is 625690758.

2. How to calculate the LCM of 303, 121, 106, 966?

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 303, 121, 106, 966.

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}.