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 742, 323, 912, 471

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


Find the LCM of 742, 323, 912, 471 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 742, 323, 912, 471. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 742,323,912,471

Given numbers are 742,323,912,471

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

The LCM of 742,323,912,471 is 903061488.

Find LCM of 742,323,912,471 with Prime Factorization


2 742, 323, 912, 471
3 371, 323, 456, 471
19 371, 323, 152, 157
371, 17, 8, 157

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

2 x 3 x 19 x 371 x 17 x 8 x 157 = 903061488

Therefore, the lowest common multiple of 742,323,912,471 is 903061488.

LCM Formula to Find Lowest Common Multiple of 742,323,912,471

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.

742 x 323 x 912 x 471 = 102949009632

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.

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

323 : 1, 17, 19, 323

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

471 : 1, 3, 157, 471

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,323,912,471, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

323:17x 19

912:2x 2x 2x 2x 3x 19

471:3x 157

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

2x 3x 19 = 114

Therefore, the value for common factors is 114.

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 = 102949009632/(1x114)

LCM = 102949009632/114

LCM = 903061488

Thus, we can understand that the LCM of 742,323,912,471 is 903061488.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 742, 323, 912, 471

1. What is the LCM of 742, 323, 912, 471?

Answer: LCM of 742, 323, 912, 471 is 903061488.

2. How to calculate the LCM of 742, 323, 912, 471?

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 742, 323, 912, 471.

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}.