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 736, 887, 985, 546, 643

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


Find the LCM of 736, 887, 985, 546, 643 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 736, 887, 985, 546, 643. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 736,887,985,546,643

Given numbers are 736,887,985,546,643

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

The LCM of 736,887,985,546,643 is 112878514301280.

Find LCM of 736,887,985,546,643 with Prime Factorization


2 736, 887, 985, 546, 643
368, 887, 985, 273, 643

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

2 x 368 x 887 x 985 x 273 x 643 = 112878514301280

Therefore, the lowest common multiple of 736,887,985,546,643 is 112878514301280.

LCM Formula to Find Lowest Common Multiple of 736,887,985,546,643

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.

736 x 887 x 985 x 546 x 643 = 225757028602560

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.

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

887 : 1, 887

985 : 1, 5, 197, 985

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

643 : 1, 643

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,887,985,546,643, is 1.

Now, the common factors can be found like this.

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

887:887

985:5x 197

546:2x 3x 7x 13

643:643

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 = 225757028602560/(1x2)

LCM = 225757028602560/2

LCM = 112878514301280

Thus, we can understand that the LCM of 736,887,985,546,643 is 112878514301280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 736, 887, 985, 546, 643

1. What is the LCM of 736, 887, 985, 546, 643?

Answer: LCM of 736, 887, 985, 546, 643 is 112878514301280.

2. How to calculate the LCM of 736, 887, 985, 546, 643?

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 736, 887, 985, 546, 643.

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}.