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LCM of 727, 456, 513, 598

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


Find the LCM of 727, 456, 513, 598 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 727, 456, 513, 598. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 727,456,513,598

Given numbers are 727,456,513,598

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

The LCM of 727,456,513,598 is 892098792.

Find LCM of 727,456,513,598 with Prime Factorization


2 727, 456, 513, 598
3 727, 228, 513, 299
19 727, 76, 171, 299
727, 4, 9, 299

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

2 x 3 x 19 x 727 x 4 x 9 x 299 = 892098792

Therefore, the lowest common multiple of 727,456,513,598 is 892098792.

LCM Formula to Find Lowest Common Multiple of 727,456,513,598

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.

727 x 456 x 513 x 598 = 101699262288

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.

727 : 1, 727

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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

598 : 1, 2, 13, 23, 26, 46, 299, 598

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 727,456,513,598, is 1.

Now, the common factors can be found like this.

727:727

456:2x 2x 2x 3x 19

513:3x 3x 3x 19

598:2x 13x 23

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

2x 3x 19 = 114

Therefore, the value for common factors is 114.

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 = 101699262288/(1x114)

LCM = 101699262288/114

LCM = 892098792

Thus, we can understand that the LCM of 727,456,513,598 is 892098792.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 727, 456, 513, 598

1. What is the LCM of 727, 456, 513, 598?

Answer: LCM of 727, 456, 513, 598 is 892098792.

2. How to calculate the LCM of 727, 456, 513, 598?

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 727, 456, 513, 598.

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}.