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 312, 534, 418, 803

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


Find the LCM of 312, 534, 418, 803 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 312, 534, 418, 803. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 312,534,418,803

Given numbers are 312,534,418,803

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

The LCM of 312,534,418,803 is 423656376.

Find LCM of 312,534,418,803 with Prime Factorization


2 312, 534, 418, 803
3 156, 267, 209, 803
11 52, 89, 209, 803
52, 89, 19, 73

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

2 x 3 x 11 x 52 x 89 x 19 x 73 = 423656376

Therefore, the lowest common multiple of 312,534,418,803 is 423656376.

LCM Formula to Find Lowest Common Multiple of 312,534,418,803

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.

312 x 534 x 418 x 803 = 55922641632

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

534 : 1, 2, 3, 6, 89, 178, 267, 534

418 : 1, 2, 11, 19, 22, 38, 209, 418

803 : 1, 11, 73, 803

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,534,418,803, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

534:2x 3x 89

418:2x 11x 19

803:11x 73

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

2x 2x 3x 11 = 132

Therefore, the value for common factors is 132.

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 = 55922641632/(1x132)

LCM = 55922641632/132

LCM = 423656376

Thus, we can understand that the LCM of 312,534,418,803 is 423656376.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 312, 534, 418, 803

1. What is the LCM of 312, 534, 418, 803?

Answer: LCM of 312, 534, 418, 803 is 423656376.

2. How to calculate the LCM of 312, 534, 418, 803?

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 312, 534, 418, 803.

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}.