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LCM of 303, 173, 418, 746

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


Find the LCM of 303, 173, 418, 746 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, 173, 418, 746. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 303,173,418,746

Given numbers are 303,173,418,746

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

The LCM of 303,173,418,746 is 8172855966.

Find LCM of 303,173,418,746 with Prime Factorization


2 303, 173, 418, 746
303, 173, 209, 373

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

2 x 303 x 173 x 209 x 373 = 8172855966

Therefore, the lowest common multiple of 303,173,418,746 is 8172855966.

LCM Formula to Find Lowest Common Multiple of 303,173,418,746

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 173 x 418 x 746 = 16345711932

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

173 : 1, 173

418 : 1, 2, 11, 19, 22, 38, 209, 418

746 : 1, 2, 373, 746

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,173,418,746, is 1.

Now, the common factors can be found like this.

303:3x 101

173:173

418:2x 11x 19

746:2x 373

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

2 = 2

Therefore, the value for common factors is 2.

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 = 16345711932/(1x2)

LCM = 16345711932/2

LCM = 8172855966

Thus, we can understand that the LCM of 303,173,418,746 is 8172855966.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 303, 173, 418, 746

1. What is the LCM of 303, 173, 418, 746?

Answer: LCM of 303, 173, 418, 746 is 8172855966.

2. How to calculate the LCM of 303, 173, 418, 746?

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, 173, 418, 746.

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}.