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 273, 767, 962, 630, 323

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


Find the LCM of 273, 767, 962, 630, 323 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 273, 767, 962, 630, 323. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 273,767,962,630,323

Given numbers are 273,767,962,630,323

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

The LCM of 273,767,962,630,323 is 5774842710.

Find LCM of 273,767,962,630,323 with Prime Factorization


2 273, 767, 962, 630, 323
3 273, 767, 481, 315, 323
7 91, 767, 481, 105, 323
13 13, 767, 481, 15, 323
1, 59, 37, 15, 323

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

2 x 3 x 7 x 13 x 1 x 59 x 37 x 15 x 323 = 5774842710

Therefore, the lowest common multiple of 273,767,962,630,323 is 5774842710.

LCM Formula to Find Lowest Common Multiple of 273,767,962,630,323

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.

273 x 767 x 962 x 630 x 323 = 40989833555580

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.

273 : 1, 3, 7, 13, 21, 39, 91, 273

767 : 1, 13, 59, 767

962 : 1, 2, 13, 26, 37, 74, 481, 962

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,767,962,630,323, is 1.

Now, the common factors can be found like this.

273:3x 7x 13

767:13x 59

962:2x 13x 37

630:2x 3x 3x 5x 7

323:17x 19

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 7x 13x 13 = 7098

Therefore, the value for common factors is 7098.

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 = 40989833555580/(1x7098)

LCM = 40989833555580/7098

LCM = 5774842710

Thus, we can understand that the LCM of 273,767,962,630,323 is 5774842710.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 273, 767, 962, 630, 323

1. What is the LCM of 273, 767, 962, 630, 323?

Answer: LCM of 273, 767, 962, 630, 323 is 5774842710.

2. How to calculate the LCM of 273, 767, 962, 630, 323?

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 273, 767, 962, 630, 323.

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}.