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 179, 493, 972, 109, 746

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


Find the LCM of 179, 493, 972, 109, 746 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 179, 493, 972, 109, 746. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 179,493,972,109,746

Given numbers are 179,493,972,109,746

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

The LCM of 179,493,972,109,746 is 3487398247188.

Find LCM of 179,493,972,109,746 with Prime Factorization


2 179, 493, 972, 109, 746
179, 493, 486, 109, 373

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

2 x 179 x 493 x 486 x 109 x 373 = 3487398247188

Therefore, the lowest common multiple of 179,493,972,109,746 is 3487398247188.

LCM Formula to Find Lowest Common Multiple of 179,493,972,109,746

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.

179 x 493 x 972 x 109 x 746 = 6974796494376

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.

179 : 1, 179

493 : 1, 17, 29, 493

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

109 : 1, 109

746 : 1, 2, 373, 746

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 179,493,972,109,746, is 1.

Now, the common factors can be found like this.

179:179

493:17x 29

972:2x 2x 3x 3x 3x 3x 3

109:109

746:2x 373

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 = 6974796494376/(1x2)

LCM = 6974796494376/2

LCM = 3487398247188

Thus, we can understand that the LCM of 179,493,972,109,746 is 3487398247188.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 179, 493, 972, 109, 746

1. What is the LCM of 179, 493, 972, 109, 746?

Answer: LCM of 179, 493, 972, 109, 746 is 3487398247188.

2. How to calculate the LCM of 179, 493, 972, 109, 746?

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 179, 493, 972, 109, 746.

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}.