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LCM of 387, 703, 406, 270, 924

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


Find the LCM of 387, 703, 406, 270, 924 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 387, 703, 406, 270, 924. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 387,703,406,270,924

Given numbers are 387,703,406,270,924

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

The LCM of 387,703,406,270,924 is 36450732780.

Find LCM of 387,703,406,270,924 with Prime Factorization


2 387, 703, 406, 270, 924
3 387, 703, 203, 135, 462
3 129, 703, 203, 45, 154
7 43, 703, 203, 15, 154
43, 703, 29, 15, 22

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

2 x 3 x 3 x 7 x 43 x 703 x 29 x 15 x 22 = 36450732780

Therefore, the lowest common multiple of 387,703,406,270,924 is 36450732780.

LCM Formula to Find Lowest Common Multiple of 387,703,406,270,924

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.

387 x 703 x 406 x 270 x 924 = 27556753981680

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.

387 : 1, 3, 9, 43, 129, 387

703 : 1, 19, 37, 703

406 : 1, 2, 7, 14, 29, 58, 203, 406

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,703,406,270,924, is 1.

Now, the common factors can be found like this.

387:3x 3x 43

703:19x 37

406:2x 7x 29

270:2x 3x 3x 3x 5

924:2x 2x 3x 7x 11

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

2x 2x 3x 3x 3x 7 = 756

Therefore, the value for common factors is 756.

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 = 27556753981680/(1x756)

LCM = 27556753981680/756

LCM = 36450732780

Thus, we can understand that the LCM of 387,703,406,270,924 is 36450732780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 387, 703, 406, 270, 924

1. What is the LCM of 387, 703, 406, 270, 924?

Answer: LCM of 387, 703, 406, 270, 924 is 36450732780.

2. How to calculate the LCM of 387, 703, 406, 270, 924?

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 387, 703, 406, 270, 924.

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}.