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LCM of 301, 303, 774, 121

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


Find the LCM of 301, 303, 774, 121 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 301, 303, 774, 121. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 301,303,774,121

Given numbers are 301,303,774,121

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

The LCM of 301,303,774,121 is 66213378.

Find LCM of 301,303,774,121 with Prime Factorization


3 301, 303, 774, 121
43 301, 101, 258, 121
7, 101, 6, 121

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

3 x 43 x 7 x 101 x 6 x 121 = 66213378

Therefore, the lowest common multiple of 301,303,774,121 is 66213378.

LCM Formula to Find Lowest Common Multiple of 301,303,774,121

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.

301 x 303 x 774 x 121 = 8541525762

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.

301 : 1, 7, 43, 301

303 : 1, 3, 101, 303

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

121 : 1, 11, 121

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 301,303,774,121, is 1.

Now, the common factors can be found like this.

301:7x 43

303:3x 101

774:2x 3x 3x 43

121:11x 11

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

3x 43 = 129

Therefore, the value for common factors is 129.

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 = 8541525762/(1x129)

LCM = 8541525762/129

LCM = 66213378

Thus, we can understand that the LCM of 301,303,774,121 is 66213378.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 301, 303, 774, 121

1. What is the LCM of 301, 303, 774, 121?

Answer: LCM of 301, 303, 774, 121 is 66213378.

2. How to calculate the LCM of 301, 303, 774, 121?

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 301, 303, 774, 121.

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}.