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LCM of 68, 841, 899

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


Find the LCM of 68, 841, 899 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 68, 841, 899. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 68,841,899

Given numbers are 68,841,899

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

The LCM of 68,841,899 is 1772828.

Find LCM of 68,841,899 with Prime Factorization


29 68, 841, 899
68, 29, 31

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

29 x 68 x 29 x 31 = 1772828

Therefore, the lowest common multiple of 68,841,899 is 1772828.

LCM Formula to Find Lowest Common Multiple of 68,841,899

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.

68 x 841 x 899 = 51412012

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.

68 : 1, 2, 4, 17, 34, 68

841 : 1, 29, 841

899 : 1, 29, 31, 899

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 68,841,899, is 1.

Now, the common factors can be found like this.

68:2x 2x 17

841:29x 29

899:29x 31

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

29 = 29

Therefore, the value for common factors is 29.

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 = 51412012/(1x29)

LCM = 51412012/29

LCM = 1772828

Thus, we can understand that the LCM of 68,841,899 is 1772828.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 68, 841, 899

1. What is the LCM of 68, 841, 899?

Answer: LCM of 68, 841, 899 is 1772828.

2. How to calculate the LCM of 68, 841, 899?

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 68, 841, 899.

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}.