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LCM of 168, 457, 410, 753

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


Find the LCM of 168, 457, 410, 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 168, 457, 410, 753. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 168,457,410,753

Given numbers are 168,457,410,753

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

The LCM of 168,457,410,753 is 3950509080.

Find LCM of 168,457,410,753 with Prime Factorization


2 168, 457, 410, 753
3 84, 457, 205, 753
28, 457, 205, 251

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

2 x 3 x 28 x 457 x 205 x 251 = 3950509080

Therefore, the lowest common multiple of 168,457,410,753 is 3950509080.

LCM Formula to Find Lowest Common Multiple of 168,457,410,753

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.

168 x 457 x 410 x 753 = 23703054480

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.

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

457 : 1, 457

410 : 1, 2, 5, 10, 41, 82, 205, 410

753 : 1, 3, 251, 753

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 168,457,410,753, is 1.

Now, the common factors can be found like this.

168:2x 2x 2x 3x 7

457:457

410:2x 5x 41

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 3 = 6

Therefore, the value for common factors is 6.

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 = 23703054480/(1x6)

LCM = 23703054480/6

LCM = 3950509080

Thus, we can understand that the LCM of 168,457,410,753 is 3950509080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 168, 457, 410, 753

1. What is the LCM of 168, 457, 410, 753?

Answer: LCM of 168, 457, 410, 753 is 3950509080.

2. How to calculate the LCM of 168, 457, 410, 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 168, 457, 410, 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}.