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LCM of 802, 704, 970, 503

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


Find the LCM of 802, 704, 970, 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 802, 704, 970, 503. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 802,704,970,503

Given numbers are 802,704,970,503

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

The LCM of 802,704,970,503 is 68869472320.

Find LCM of 802,704,970,503 with Prime Factorization


2 802, 704, 970, 503
401, 352, 485, 503

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

2 x 401 x 352 x 485 x 503 = 68869472320

Therefore, the lowest common multiple of 802,704,970,503 is 68869472320.

LCM Formula to Find Lowest Common Multiple of 802,704,970,503

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.

802 x 704 x 970 x 503 = 275477889280

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.

802 : 1, 2, 401, 802

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

970 : 1, 2, 5, 10, 97, 194, 485, 970

503 : 1, 503

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,704,970,503, is 1.

Now, the common factors can be found like this.

802:2x 401

704:2x 2x 2x 2x 2x 2x 11

970:2x 5x 97

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 2 = 4

Therefore, the value for common factors is 4.

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 = 275477889280/(1x4)

LCM = 275477889280/4

LCM = 68869472320

Thus, we can understand that the LCM of 802,704,970,503 is 68869472320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 802, 704, 970, 503

1. What is the LCM of 802, 704, 970, 503?

Answer: LCM of 802, 704, 970, 503 is 68869472320.

2. How to calculate the LCM of 802, 704, 970, 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 802, 704, 970, 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}.