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 838, 748, 578, 523

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


Find the LCM of 838, 748, 578, 523 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 838, 748, 578, 523. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 838,748,578,523

Given numbers are 838,748,578,523

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

The LCM of 838,748,578,523 is 2786546092.

Find LCM of 838,748,578,523 with Prime Factorization


2 838, 748, 578, 523
17 419, 374, 289, 523
419, 22, 17, 523

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

2 x 17 x 419 x 22 x 17 x 523 = 2786546092

Therefore, the lowest common multiple of 838,748,578,523 is 2786546092.

LCM Formula to Find Lowest Common Multiple of 838,748,578,523

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.

838 x 748 x 578 x 523 = 189485134256

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.

838 : 1, 2, 419, 838

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

578 : 1, 2, 17, 34, 289, 578

523 : 1, 523

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 838,748,578,523, is 1.

Now, the common factors can be found like this.

838:2x 419

748:2x 2x 11x 17

578:2x 17x 17

523:523

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 17 = 68

Therefore, the value for common factors is 68.

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 = 189485134256/(1x68)

LCM = 189485134256/68

LCM = 2786546092

Thus, we can understand that the LCM of 838,748,578,523 is 2786546092.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 838, 748, 578, 523

1. What is the LCM of 838, 748, 578, 523?

Answer: LCM of 838, 748, 578, 523 is 2786546092.

2. How to calculate the LCM of 838, 748, 578, 523?

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 838, 748, 578, 523.

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}.