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LCM of 477, 706, 450, 670

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


Find the LCM of 477, 706, 450, 670 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 477, 706, 450, 670. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 477,706,450,670

Given numbers are 477,706,450,670

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

The LCM of 477,706,450,670 is 564076350.

Find LCM of 477,706,450,670 with Prime Factorization


2 477, 706, 450, 670
3 477, 353, 225, 335
3 159, 353, 75, 335
5 53, 353, 25, 335
53, 353, 5, 67

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

2 x 3 x 3 x 5 x 53 x 353 x 5 x 67 = 564076350

Therefore, the lowest common multiple of 477,706,450,670 is 564076350.

LCM Formula to Find Lowest Common Multiple of 477,706,450,670

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.

477 x 706 x 450 x 670 = 101533743000

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.

477 : 1, 3, 9, 53, 159, 477

706 : 1, 2, 353, 706

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

670 : 1, 2, 5, 10, 67, 134, 335, 670

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 477,706,450,670, is 1.

Now, the common factors can be found like this.

477:3x 3x 53

706:2x 353

450:2x 3x 3x 5x 5

670:2x 5x 67

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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 101533743000/(1x180)

LCM = 101533743000/180

LCM = 564076350

Thus, we can understand that the LCM of 477,706,450,670 is 564076350.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 477, 706, 450, 670

1. What is the LCM of 477, 706, 450, 670?

Answer: LCM of 477, 706, 450, 670 is 564076350.

2. How to calculate the LCM of 477, 706, 450, 670?

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 477, 706, 450, 670.

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}.