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LCM of 668, 533, 124, 450, 504

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


Find the LCM of 668, 533, 124, 450, 504 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 668, 533, 124, 450, 504. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 668,533,124,450,504

Given numbers are 668,533,124,450,504

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

The LCM of 668,533,124,450,504 is 34767696600.

Find LCM of 668,533,124,450,504 with Prime Factorization


2 668, 533, 124, 450, 504
2 334, 533, 62, 225, 252
3 167, 533, 31, 225, 126
3 167, 533, 31, 75, 42
167, 533, 31, 25, 14

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

2 x 2 x 3 x 3 x 167 x 533 x 31 x 25 x 14 = 34767696600

Therefore, the lowest common multiple of 668,533,124,450,504 is 34767696600.

LCM Formula to Find Lowest Common Multiple of 668,533,124,450,504

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.

668 x 533 x 124 x 450 x 504 = 10013096620800

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.

668 : 1, 2, 4, 167, 334, 668

533 : 1, 13, 41, 533

124 : 1, 2, 4, 31, 62, 124

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 668,533,124,450,504, is 1.

Now, the common factors can be found like this.

668:2x 2x 167

533:13x 41

124:2x 2x 31

450:2x 3x 3x 5x 5

504:2x 2x 2x 3x 3x 7

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 2x 2x 2x 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 10013096620800/(1x288)

LCM = 10013096620800/288

LCM = 34767696600

Thus, we can understand that the LCM of 668,533,124,450,504 is 34767696600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 668, 533, 124, 450, 504

1. What is the LCM of 668, 533, 124, 450, 504?

Answer: LCM of 668, 533, 124, 450, 504 is 34767696600.

2. How to calculate the LCM of 668, 533, 124, 450, 504?

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 668, 533, 124, 450, 504.

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}.