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LCM of 365, 862, 424, 431

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


Find the LCM of 365, 862, 424, 431 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 365, 862, 424, 431. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 365,862,424,431

Given numbers are 365,862,424,431

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

The LCM of 365,862,424,431 is 66701560.

Find LCM of 365,862,424,431 with Prime Factorization


2 365, 862, 424, 431
431 365, 431, 212, 431
365, 1, 212, 1

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

2 x 431 x 365 x 1 x 212 x 1 = 66701560

Therefore, the lowest common multiple of 365,862,424,431 is 66701560.

LCM Formula to Find Lowest Common Multiple of 365,862,424,431

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.

365 x 862 x 424 x 431 = 57496744720

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.

365 : 1, 5, 73, 365

862 : 1, 2, 431, 862

424 : 1, 2, 4, 8, 53, 106, 212, 424

431 : 1, 431

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 365,862,424,431, is 1.

Now, the common factors can be found like this.

365:5x 73

862:2x 431

424:2x 2x 2x 53

431:431

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

2x 431 = 862

Therefore, the value for common factors is 862.

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 = 57496744720/(1x862)

LCM = 57496744720/862

LCM = 66701560

Thus, we can understand that the LCM of 365,862,424,431 is 66701560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 365, 862, 424, 431

1. What is the LCM of 365, 862, 424, 431?

Answer: LCM of 365, 862, 424, 431 is 66701560.

2. How to calculate the LCM of 365, 862, 424, 431?

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 365, 862, 424, 431.

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}.