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LCM of 229, 899, 712, 950

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


Find the LCM of 229, 899, 712, 950 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 229, 899, 712, 950. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 229,899,712,950

Given numbers are 229,899,712,950

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

The LCM of 229,899,712,950 is 69625572200.

Find LCM of 229,899,712,950 with Prime Factorization


2 229, 899, 712, 950
229, 899, 356, 475

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

2 x 229 x 899 x 356 x 475 = 69625572200

Therefore, the lowest common multiple of 229,899,712,950 is 69625572200.

LCM Formula to Find Lowest Common Multiple of 229,899,712,950

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.

229 x 899 x 712 x 950 = 139251144400

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.

229 : 1, 229

899 : 1, 29, 31, 899

712 : 1, 2, 4, 8, 89, 178, 356, 712

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,899,712,950, is 1.

Now, the common factors can be found like this.

229:229

899:29x 31

712:2x 2x 2x 89

950:2x 5x 5x 19

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

2 = 2

Therefore, the value for common factors is 2.

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 = 139251144400/(1x2)

LCM = 139251144400/2

LCM = 69625572200

Thus, we can understand that the LCM of 229,899,712,950 is 69625572200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 229, 899, 712, 950

1. What is the LCM of 229, 899, 712, 950?

Answer: LCM of 229, 899, 712, 950 is 69625572200.

2. How to calculate the LCM of 229, 899, 712, 950?

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 229, 899, 712, 950.

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}.