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LCM of 482, 714, 900, 526, 503

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


Find the LCM of 482, 714, 900, 526, 503 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 482, 714, 900, 526, 503. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 482,714,900,526,503

Given numbers are 482,714,900,526,503

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

The LCM of 482,714,900,526,503 is 3414524607900.

Find LCM of 482,714,900,526,503 with Prime Factorization


2 482, 714, 900, 526, 503
3 241, 357, 450, 263, 503
241, 119, 150, 263, 503

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

2 x 3 x 241 x 119 x 150 x 263 x 503 = 3414524607900

Therefore, the lowest common multiple of 482,714,900,526,503 is 3414524607900.

LCM Formula to Find Lowest Common Multiple of 482,714,900,526,503

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.

482 x 714 x 900 x 526 x 503 = 81948590589600

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.

482 : 1, 2, 241, 482

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

526 : 1, 2, 263, 526

503 : 1, 503

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 482,714,900,526,503, is 1.

Now, the common factors can be found like this.

482:2x 241

714:2x 3x 7x 17

900:2x 2x 3x 3x 5x 5

526:2x 263

503:503

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 3 = 24

Therefore, the value for common factors is 24.

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 = 81948590589600/(1x24)

LCM = 81948590589600/24

LCM = 3414524607900

Thus, we can understand that the LCM of 482,714,900,526,503 is 3414524607900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 482, 714, 900, 526, 503

1. What is the LCM of 482, 714, 900, 526, 503?

Answer: LCM of 482, 714, 900, 526, 503 is 3414524607900.

2. How to calculate the LCM of 482, 714, 900, 526, 503?

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 482, 714, 900, 526, 503.

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}.