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LCM of 303, 154, 901, 705

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


Find the LCM of 303, 154, 901, 705 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, 154, 901, 705. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 303,154,901,705

Given numbers are 303,154,901,705

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

The LCM of 303,154,901,705 is 9879978570.

Find LCM of 303,154,901,705 with Prime Factorization


3 303, 154, 901, 705
101, 154, 901, 235

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

3 x 101 x 154 x 901 x 235 = 9879978570

Therefore, the lowest common multiple of 303,154,901,705 is 9879978570.

LCM Formula to Find Lowest Common Multiple of 303,154,901,705

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 154 x 901 x 705 = 29639935710

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

154 : 1, 2, 7, 11, 14, 22, 77, 154

901 : 1, 17, 53, 901

705 : 1, 3, 5, 15, 47, 141, 235, 705

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,154,901,705, is 1.

Now, the common factors can be found like this.

303:3x 101

154:2x 7x 11

901:17x 53

705:3x 5x 47

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

3 = 3

Therefore, the value for common factors is 3.

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 = 29639935710/(1x3)

LCM = 29639935710/3

LCM = 9879978570

Thus, we can understand that the LCM of 303,154,901,705 is 9879978570.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 303, 154, 901, 705

1. What is the LCM of 303, 154, 901, 705?

Answer: LCM of 303, 154, 901, 705 is 9879978570.

2. How to calculate the LCM of 303, 154, 901, 705?

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, 154, 901, 705.

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}.