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LCM of 473, 648, 747, 552, 876

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


Find the LCM of 473, 648, 747, 552, 876 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 473, 648, 747, 552, 876. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 473,648,747,552,876

Given numbers are 473,648,747,552,876

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

The LCM of 473,648,747,552,876 is 42713477928.

Find LCM of 473,648,747,552,876 with Prime Factorization


2 473, 648, 747, 552, 876
2 473, 324, 747, 276, 438
2 473, 162, 747, 138, 219
3 473, 81, 747, 69, 219
3 473, 27, 249, 23, 73
473, 9, 83, 23, 73

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

2 x 2 x 2 x 3 x 3 x 473 x 9 x 83 x 23 x 73 = 42713477928

Therefore, the lowest common multiple of 473,648,747,552,876 is 42713477928.

LCM Formula to Find Lowest Common Multiple of 473,648,747,552,876

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.

473 x 648 x 747 x 552 x 876 = 110713334789376

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.

473 : 1, 11, 43, 473

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

747 : 1, 3, 9, 83, 249, 747

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,648,747,552,876, is 1.

Now, the common factors can be found like this.

473:11x 43

648:2x 2x 2x 3x 3x 3x 3

747:3x 3x 83

552:2x 2x 2x 3x 23

876:2x 2x 3x 73

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 3x 3x 3 = 2592

Therefore, the value for common factors is 2592.

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 = 110713334789376/(1x2592)

LCM = 110713334789376/2592

LCM = 42713477928

Thus, we can understand that the LCM of 473,648,747,552,876 is 42713477928.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 473, 648, 747, 552, 876

1. What is the LCM of 473, 648, 747, 552, 876?

Answer: LCM of 473, 648, 747, 552, 876 is 42713477928.

2. How to calculate the LCM of 473, 648, 747, 552, 876?

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 473, 648, 747, 552, 876.

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}.