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LCM of 464, 473, 737, 215

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


Find the LCM of 464, 473, 737, 215 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 464, 473, 737, 215. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 464,473,737,215

Given numbers are 464,473,737,215

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

The LCM of 464,473,737,215 is 73523120.

Find LCM of 464,473,737,215 with Prime Factorization


11 464, 473, 737, 215
43 464, 43, 67, 215
464, 1, 67, 5

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

11 x 43 x 464 x 1 x 67 x 5 = 73523120

Therefore, the lowest common multiple of 464,473,737,215 is 73523120.

LCM Formula to Find Lowest Common Multiple of 464,473,737,215

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.

464 x 473 x 737 x 215 = 34776435760

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

473 : 1, 11, 43, 473

737 : 1, 11, 67, 737

215 : 1, 5, 43, 215

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,473,737,215, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

473:11x 43

737:11x 67

215:5x 43

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

11x 43 = 473

Therefore, the value for common factors is 473.

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 = 34776435760/(1x473)

LCM = 34776435760/473

LCM = 73523120

Thus, we can understand that the LCM of 464,473,737,215 is 73523120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 464, 473, 737, 215

1. What is the LCM of 464, 473, 737, 215?

Answer: LCM of 464, 473, 737, 215 is 73523120.

2. How to calculate the LCM of 464, 473, 737, 215?

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 464, 473, 737, 215.

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}.