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LCM of 753, 382, 153, 473

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


Find the LCM of 753, 382, 153, 473 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 753, 382, 153, 473. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 753,382,153,473

Given numbers are 753,382,153,473

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

The LCM of 753,382,153,473 is 6938884458.

Find LCM of 753,382,153,473 with Prime Factorization


3 753, 382, 153, 473
251, 382, 51, 473

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

3 x 251 x 382 x 51 x 473 = 6938884458

Therefore, the lowest common multiple of 753,382,153,473 is 6938884458.

LCM Formula to Find Lowest Common Multiple of 753,382,153,473

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.

753 x 382 x 153 x 473 = 20816653374

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.

753 : 1, 3, 251, 753

382 : 1, 2, 191, 382

153 : 1, 3, 9, 17, 51, 153

473 : 1, 11, 43, 473

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 753,382,153,473, is 1.

Now, the common factors can be found like this.

753:3x 251

382:2x 191

153:3x 3x 17

473:11x 43

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 = 20816653374/(1x3)

LCM = 20816653374/3

LCM = 6938884458

Thus, we can understand that the LCM of 753,382,153,473 is 6938884458.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 753, 382, 153, 473

1. What is the LCM of 753, 382, 153, 473?

Answer: LCM of 753, 382, 153, 473 is 6938884458.

2. How to calculate the LCM of 753, 382, 153, 473?

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 753, 382, 153, 473.

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}.