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LCM of 361, 649, 590, 863

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


Find the LCM of 361, 649, 590, 863 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 361, 649, 590, 863. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 361,649,590,863

Given numbers are 361,649,590,863

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

The LCM of 361,649,590,863 is 2021914070.

Find LCM of 361,649,590,863 with Prime Factorization


59 361, 649, 590, 863
361, 11, 10, 863

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

59 x 361 x 11 x 10 x 863 = 2021914070

Therefore, the lowest common multiple of 361,649,590,863 is 2021914070.

LCM Formula to Find Lowest Common Multiple of 361,649,590,863

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.

361 x 649 x 590 x 863 = 119292930130

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.

361 : 1, 19, 361

649 : 1, 11, 59, 649

590 : 1, 2, 5, 10, 59, 118, 295, 590

863 : 1, 863

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,649,590,863, is 1.

Now, the common factors can be found like this.

361:19x 19

649:11x 59

590:2x 5x 59

863:863

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

59 = 59

Therefore, the value for common factors is 59.

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 = 119292930130/(1x59)

LCM = 119292930130/59

LCM = 2021914070

Thus, we can understand that the LCM of 361,649,590,863 is 2021914070.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 361, 649, 590, 863

1. What is the LCM of 361, 649, 590, 863?

Answer: LCM of 361, 649, 590, 863 is 2021914070.

2. How to calculate the LCM of 361, 649, 590, 863?

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 361, 649, 590, 863.

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}.