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 893, 235, 377, 464, 867

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


Find the LCM of 893, 235, 377, 464, 867 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 893, 235, 377, 464, 867. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 893,235,377,464,867

Given numbers are 893,235,377,464,867

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

The LCM of 893,235,377,464,867 is 23350806960.

Find LCM of 893,235,377,464,867 with Prime Factorization


29 893, 235, 377, 464, 867
47 893, 235, 13, 16, 867
19, 5, 13, 16, 867

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

29 x 47 x 19 x 5 x 13 x 16 x 867 = 23350806960

Therefore, the lowest common multiple of 893,235,377,464,867 is 23350806960.

LCM Formula to Find Lowest Common Multiple of 893,235,377,464,867

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.

893 x 235 x 377 x 464 x 867 = 31827149886480

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.

893 : 1, 19, 47, 893

235 : 1, 5, 47, 235

377 : 1, 13, 29, 377

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

867 : 1, 3, 17, 51, 289, 867

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,235,377,464,867, is 1.

Now, the common factors can be found like this.

893:19x 47

235:5x 47

377:13x 29

464:2x 2x 2x 2x 29

867:3x 17x 17

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

29x 47 = 1363

Therefore, the value for common factors is 1363.

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 = 31827149886480/(1x1363)

LCM = 31827149886480/1363

LCM = 23350806960

Thus, we can understand that the LCM of 893,235,377,464,867 is 23350806960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 893, 235, 377, 464, 867

1. What is the LCM of 893, 235, 377, 464, 867?

Answer: LCM of 893, 235, 377, 464, 867 is 23350806960.

2. How to calculate the LCM of 893, 235, 377, 464, 867?

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 893, 235, 377, 464, 867.

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}.