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LCM of 415, 503, 528, 498, 767

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


Find the LCM of 415, 503, 528, 498, 767 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 415, 503, 528, 498, 767. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 415,503,528,498,767

Given numbers are 415,503,528,498,767

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

The LCM of 415,503,528,498,767 is 84536715120.

Find LCM of 415,503,528,498,767 with Prime Factorization


2 415, 503, 528, 498, 767
3 415, 503, 264, 249, 767
83 415, 503, 88, 83, 767
5, 503, 88, 1, 767

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

2 x 3 x 83 x 5 x 503 x 88 x 1 x 767 = 84536715120

Therefore, the lowest common multiple of 415,503,528,498,767 is 84536715120.

LCM Formula to Find Lowest Common Multiple of 415,503,528,498,767

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.

415 x 503 x 528 x 498 x 767 = 42099284129760

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.

415 : 1, 5, 83, 415

503 : 1, 503

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

498 : 1, 2, 3, 6, 83, 166, 249, 498

767 : 1, 13, 59, 767

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 415,503,528,498,767, is 1.

Now, the common factors can be found like this.

415:5x 83

503:503

528:2x 2x 2x 2x 3x 11

498:2x 3x 83

767:13x 59

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 83 = 498

Therefore, the value for common factors is 498.

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 = 42099284129760/(1x498)

LCM = 42099284129760/498

LCM = 84536715120

Thus, we can understand that the LCM of 415,503,528,498,767 is 84536715120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 415, 503, 528, 498, 767

1. What is the LCM of 415, 503, 528, 498, 767?

Answer: LCM of 415, 503, 528, 498, 767 is 84536715120.

2. How to calculate the LCM of 415, 503, 528, 498, 767?

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 415, 503, 528, 498, 767.

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}.