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LCM of 715, 659, 785

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


Find the LCM of 715, 659, 785 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, 659, 785. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 715,659,785

Given numbers are 715,659,785

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

The LCM of 715,659,785 is 73976045.

Find LCM of 715,659,785 with Prime Factorization


5 715, 659, 785
143, 659, 157

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

5 x 143 x 659 x 157 = 73976045

Therefore, the lowest common multiple of 715,659,785 is 73976045.

LCM Formula to Find Lowest Common Multiple of 715,659,785

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 659 x 785 = 369880225

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

659 : 1, 659

785 : 1, 5, 157, 785

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,659,785, is 1.

Now, the common factors can be found like this.

715:5x 11x 13

659:659

785:5x 157

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

5 = 5

Therefore, the value for common factors is 5.

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 = 369880225/(1x5)

LCM = 369880225/5

LCM = 73976045

Thus, we can understand that the LCM of 715,659,785 is 73976045.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 715, 659, 785

1. What is the LCM of 715, 659, 785?

Answer: LCM of 715, 659, 785 is 73976045.

2. How to calculate the LCM of 715, 659, 785?

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, 659, 785.

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}.