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LCM of 747, 360, 513, 597

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


Find the LCM of 747, 360, 513, 597 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 747, 360, 513, 597. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 747,360,513,597

Given numbers are 747,360,513,597

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

The LCM of 747,360,513,597 is 338928840.

Find LCM of 747,360,513,597 with Prime Factorization


3 747, 360, 513, 597
3 249, 120, 171, 199
83, 40, 57, 199

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

3 x 3 x 83 x 40 x 57 x 199 = 338928840

Therefore, the lowest common multiple of 747,360,513,597 is 338928840.

LCM Formula to Find Lowest Common Multiple of 747,360,513,597

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.

747 x 360 x 513 x 597 = 82359708120

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.

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

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

513 : 1, 3, 9, 19, 27, 57, 171, 513

597 : 1, 3, 199, 597

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,360,513,597, is 3.

Now, the common factors can be found like this.

747:3x 3x 83

360:2x 2x 2x 3x 3x 5

513:3x 3x 3x 19

597:3x 199

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

3x 3x 3x 3 = 81

Therefore, the value for common factors is 81.

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 = 82359708120/(3x81)

LCM = 82359708120/243

LCM = 338928840

Thus, we can understand that the LCM of 747,360,513,597 is 338928840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 747, 360, 513, 597

1. What is the LCM of 747, 360, 513, 597?

Answer: LCM of 747, 360, 513, 597 is 338928840.

2. How to calculate the LCM of 747, 360, 513, 597?

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 747, 360, 513, 597.

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}.