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LCM of 715, 893, 693, 983, 736

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


Find the LCM of 715, 893, 693, 983, 736 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 715, 893, 693, 983, 736. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 715,893,693,983,736

Given numbers are 715,893,693,983,736

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

The LCM of 715,893,693,983,736 is 29102438645280.

Find LCM of 715,893,693,983,736 with Prime Factorization


11 715, 893, 693, 983, 736
65, 893, 63, 983, 736

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

11 x 65 x 893 x 63 x 983 x 736 = 29102438645280

Therefore, the lowest common multiple of 715,893,693,983,736 is 29102438645280.

LCM Formula to Find Lowest Common Multiple of 715,893,693,983,736

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.

715 x 893 x 693 x 983 x 736 = 320126825098080

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.

715 : 1, 5, 11, 13, 55, 65, 143, 715

893 : 1, 19, 47, 893

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

983 : 1, 983

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,893,693,983,736, is 1.

Now, the common factors can be found like this.

715:5x 11x 13

893:19x 47

693:3x 3x 7x 11

983:983

736:2x 2x 2x 2x 2x 23

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

11 = 11

Therefore, the value for common factors is 11.

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 = 320126825098080/(1x11)

LCM = 320126825098080/11

LCM = 29102438645280

Thus, we can understand that the LCM of 715,893,693,983,736 is 29102438645280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 715, 893, 693, 983, 736

1. What is the LCM of 715, 893, 693, 983, 736?

Answer: LCM of 715, 893, 693, 983, 736 is 29102438645280.

2. How to calculate the LCM of 715, 893, 693, 983, 736?

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 715, 893, 693, 983, 736.

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}.