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 221, 527, 255, 742

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


Find the LCM of 221, 527, 255, 742 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 221, 527, 255, 742. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 221,527,255,742

Given numbers are 221,527,255,742

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

The LCM of 221,527,255,742 is 76251630.

Find LCM of 221,527,255,742 with Prime Factorization


17 221, 527, 255, 742
13, 31, 15, 742

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

17 x 13 x 31 x 15 x 742 = 76251630

Therefore, the lowest common multiple of 221,527,255,742 is 76251630.

LCM Formula to Find Lowest Common Multiple of 221,527,255,742

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.

221 x 527 x 255 x 742 = 22036721070

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.

221 : 1, 13, 17, 221

527 : 1, 17, 31, 527

255 : 1, 3, 5, 15, 17, 51, 85, 255

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,527,255,742, is 1.

Now, the common factors can be found like this.

221:13x 17

527:17x 31

255:3x 5x 17

742:2x 7x 53

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

17x 17 = 289

Therefore, the value for common factors is 289.

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 = 22036721070/(1x289)

LCM = 22036721070/289

LCM = 76251630

Thus, we can understand that the LCM of 221,527,255,742 is 76251630.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 221, 527, 255, 742

1. What is the LCM of 221, 527, 255, 742?

Answer: LCM of 221, 527, 255, 742 is 76251630.

2. How to calculate the LCM of 221, 527, 255, 742?

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 221, 527, 255, 742.

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}.