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LCM of 753, 408, 314, 753

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


Find the LCM of 753, 408, 314, 753 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, 408, 314, 753. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 753,408,314,753

Given numbers are 753,408,314,753

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

The LCM of 753,408,314,753 is 16078056.

Find LCM of 753,408,314,753 with Prime Factorization


2 753, 408, 314, 753
3 753, 204, 157, 753
251 251, 68, 157, 251
1, 68, 157, 1

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

2 x 3 x 251 x 1 x 68 x 157 x 1 = 16078056

Therefore, the lowest common multiple of 753,408,314,753 is 16078056.

LCM Formula to Find Lowest Common Multiple of 753,408,314,753

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 408 x 314 x 753 = 72640657008

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

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

314 : 1, 2, 157, 314

753 : 1, 3, 251, 753

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 753,408,314,753, is 1.

Now, the common factors can be found like this.

753:3x 251

408:2x 2x 2x 3x 17

314:2x 157

753:3x 251

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

2x 3x 3x 251 = 4518

Therefore, the value for common factors is 4518.

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 = 72640657008/(1x4518)

LCM = 72640657008/4518

LCM = 16078056

Thus, we can understand that the LCM of 753,408,314,753 is 16078056.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 753, 408, 314, 753

1. What is the LCM of 753, 408, 314, 753?

Answer: LCM of 753, 408, 314, 753 is 16078056.

2. How to calculate the LCM of 753, 408, 314, 753?

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, 408, 314, 753.

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}.