LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 715, 880, 561, 783

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


Find the LCM of 715, 880, 561, 783 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, 880, 561, 783. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 715,880,561,783

Given numbers are 715,880,561,783

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

The LCM of 715,880,561,783 is 152277840.

Find LCM of 715,880,561,783 with Prime Factorization


3 715, 880, 561, 783
5 715, 880, 187, 261
11 143, 176, 187, 261
13, 16, 17, 261

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

3 x 5 x 11 x 13 x 16 x 17 x 261 = 152277840

Therefore, the lowest common multiple of 715,880,561,783 is 152277840.

LCM Formula to Find Lowest Common Multiple of 715,880,561,783

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 880 x 561 x 783 = 276384279600

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

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

561 : 1, 3, 11, 17, 33, 51, 187, 561

783 : 1, 3, 9, 27, 29, 87, 261, 783

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,880,561,783, is 1.

Now, the common factors can be found like this.

715:5x 11x 13

880:2x 2x 2x 2x 5x 11

561:3x 11x 17

783:3x 3x 3x 29

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

3x 5x 11x 11 = 1815

Therefore, the value for common factors is 1815.

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 = 276384279600/(1x1815)

LCM = 276384279600/1815

LCM = 152277840

Thus, we can understand that the LCM of 715,880,561,783 is 152277840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 715, 880, 561, 783

1. What is the LCM of 715, 880, 561, 783?

Answer: LCM of 715, 880, 561, 783 is 152277840.

2. How to calculate the LCM of 715, 880, 561, 783?

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, 880, 561, 783.

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}.