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LCM of 167, 803, 747, 663, 572

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


Find the LCM of 167, 803, 747, 663, 572 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 167, 803, 747, 663, 572. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 167,803,747,663,572

Given numbers are 167,803,747,663,572

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

The LCM of 167,803,747,663,572 is 88553327148.

Find LCM of 167,803,747,663,572 with Prime Factorization


3 167, 803, 747, 663, 572
11 167, 803, 249, 221, 572
13 167, 73, 249, 221, 52
167, 73, 249, 17, 4

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

3 x 11 x 13 x 167 x 73 x 249 x 17 x 4 = 88553327148

Therefore, the lowest common multiple of 167,803,747,663,572 is 88553327148.

LCM Formula to Find Lowest Common Multiple of 167,803,747,663,572

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.

167 x 803 x 747 x 663 x 572 = 37989377346492

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.

167 : 1, 167

803 : 1, 11, 73, 803

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

663 : 1, 3, 13, 17, 39, 51, 221, 663

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 167,803,747,663,572, is 1.

Now, the common factors can be found like this.

167:167

803:11x 73

747:3x 3x 83

663:3x 13x 17

572:2x 2x 11x 13

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

3x 11x 13 = 429

Therefore, the value for common factors is 429.

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 = 37989377346492/(1x429)

LCM = 37989377346492/429

LCM = 88553327148

Thus, we can understand that the LCM of 167,803,747,663,572 is 88553327148.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 167, 803, 747, 663, 572

1. What is the LCM of 167, 803, 747, 663, 572?

Answer: LCM of 167, 803, 747, 663, 572 is 88553327148.

2. How to calculate the LCM of 167, 803, 747, 663, 572?

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 167, 803, 747, 663, 572.

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}.