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LCM of 234, 229, 351, 804

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


Find the LCM of 234, 229, 351, 804 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 234, 229, 351, 804. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 234,229,351,804

Given numbers are 234,229,351,804

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

The LCM of 234,229,351,804 is 21541572.

Find LCM of 234,229,351,804 with Prime Factorization


2 234, 229, 351, 804
3 117, 229, 351, 402
3 39, 229, 117, 134
13 13, 229, 39, 134
1, 229, 3, 134

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

2 x 3 x 3 x 13 x 1 x 229 x 3 x 134 = 21541572

Therefore, the lowest common multiple of 234,229,351,804 is 21541572.

LCM Formula to Find Lowest Common Multiple of 234,229,351,804

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.

234 x 229 x 351 x 804 = 15122183544

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.

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

229 : 1, 229

351 : 1, 3, 9, 13, 27, 39, 117, 351

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,229,351,804, is 1.

Now, the common factors can be found like this.

234:2x 3x 3x 13

229:229

351:3x 3x 3x 13

804:2x 2x 3x 67

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

2x 3x 3x 3x 13 = 702

Therefore, the value for common factors is 702.

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 = 15122183544/(1x702)

LCM = 15122183544/702

LCM = 21541572

Thus, we can understand that the LCM of 234,229,351,804 is 21541572.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 234, 229, 351, 804

1. What is the LCM of 234, 229, 351, 804?

Answer: LCM of 234, 229, 351, 804 is 21541572.

2. How to calculate the LCM of 234, 229, 351, 804?

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 234, 229, 351, 804.

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}.