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LCM of 101, 303, 447

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


Find the LCM of 101, 303, 447 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 101, 303, 447. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 101,303,447

Given numbers are 101,303,447

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

The LCM of 101,303,447 is 45147.

Find LCM of 101,303,447 with Prime Factorization


3 101, 303, 447
101 101, 101, 149
1, 1, 149

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

3 x 101 x 1 x 1 x 149 = 45147

Therefore, the lowest common multiple of 101,303,447 is 45147.

LCM Formula to Find Lowest Common Multiple of 101,303,447

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.

101 x 303 x 447 = 13679541

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.

101 : 1, 101

303 : 1, 3, 101, 303

447 : 1, 3, 149, 447

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 101,303,447, is 1.

Now, the common factors can be found like this.

101:101

303:3x 101

447:3x 149

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

3x 101 = 303

Therefore, the value for common factors is 303.

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 = 13679541/(1x303)

LCM = 13679541/303

LCM = 45147

Thus, we can understand that the LCM of 101,303,447 is 45147.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 101, 303, 447

1. What is the LCM of 101, 303, 447?

Answer: LCM of 101, 303, 447 is 45147.

2. How to calculate the LCM of 101, 303, 447?

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 101, 303, 447.

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}.