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LCM of 628, 532, 665, 168, 954

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


Find the LCM of 628, 532, 665, 168, 954 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 628, 532, 665, 168, 954. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 628,532,665,168,954

Given numbers are 628,532,665,168,954

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

The LCM of 628,532,665,168,954 is 398409480.

Find LCM of 628,532,665,168,954 with Prime Factorization


2 628, 532, 665, 168, 954
2 314, 266, 665, 84, 477
3 157, 133, 665, 42, 477
7 157, 133, 665, 14, 159
19 157, 19, 95, 2, 159
157, 1, 5, 2, 159

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

2 x 2 x 3 x 7 x 19 x 157 x 1 x 5 x 2 x 159 = 398409480

Therefore, the lowest common multiple of 628,532,665,168,954 is 398409480.

LCM Formula to Find Lowest Common Multiple of 628,532,665,168,954

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.

628 x 532 x 665 x 168 x 954 = 35608245684480

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.

628 : 1, 2, 4, 157, 314, 628

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

665 : 1, 5, 7, 19, 35, 95, 133, 665

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

954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,532,665,168,954, is 1.

Now, the common factors can be found like this.

628:2x 2x 157

532:2x 2x 7x 19

665:5x 7x 19

168:2x 2x 2x 3x 7

954:2x 3x 3x 53

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 7x 7x 19 = 89376

Therefore, the value for common factors is 89376.

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 = 35608245684480/(1x89376)

LCM = 35608245684480/89376

LCM = 398409480

Thus, we can understand that the LCM of 628,532,665,168,954 is 398409480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 628, 532, 665, 168, 954

1. What is the LCM of 628, 532, 665, 168, 954?

Answer: LCM of 628, 532, 665, 168, 954 is 398409480.

2. How to calculate the LCM of 628, 532, 665, 168, 954?

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 628, 532, 665, 168, 954.

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}.