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LCM of 725, 656, 818, 693

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


Find the LCM of 725, 656, 818, 693 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 725, 656, 818, 693. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 725,656,818,693

Given numbers are 725,656,818,693

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

The LCM of 725,656,818,693 is 134802637200.

Find LCM of 725,656,818,693 with Prime Factorization


2 725, 656, 818, 693
725, 328, 409, 693

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

2 x 725 x 328 x 409 x 693 = 134802637200

Therefore, the lowest common multiple of 725,656,818,693 is 134802637200.

LCM Formula to Find Lowest Common Multiple of 725,656,818,693

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.

725 x 656 x 818 x 693 = 269605274400

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.

725 : 1, 5, 25, 29, 145, 725

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

818 : 1, 2, 409, 818

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 725,656,818,693, is 1.

Now, the common factors can be found like this.

725:5x 5x 29

656:2x 2x 2x 2x 41

818:2x 409

693:3x 3x 7x 11

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

2 = 2

Therefore, the value for common factors is 2.

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 = 269605274400/(1x2)

LCM = 269605274400/2

LCM = 134802637200

Thus, we can understand that the LCM of 725,656,818,693 is 134802637200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 725, 656, 818, 693

1. What is the LCM of 725, 656, 818, 693?

Answer: LCM of 725, 656, 818, 693 is 134802637200.

2. How to calculate the LCM of 725, 656, 818, 693?

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 725, 656, 818, 693.

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}.