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LCM of 226, 722, 760, 804

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


Find the LCM of 226, 722, 760, 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 226, 722, 760, 804. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 226,722,760,804

Given numbers are 226,722,760,804

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

The LCM of 226,722,760,804 is 327975720.

Find LCM of 226,722,760,804 with Prime Factorization


2 226, 722, 760, 804
2 113, 361, 380, 402
19 113, 361, 190, 201
113, 19, 10, 201

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

2 x 2 x 19 x 113 x 19 x 10 x 201 = 327975720

Therefore, the lowest common multiple of 226,722,760,804 is 327975720.

LCM Formula to Find Lowest Common Multiple of 226,722,760,804

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.

226 x 722 x 760 x 804 = 99704618880

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.

226 : 1, 2, 113, 226

722 : 1, 2, 19, 38, 361, 722

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 226,722,760,804, is 2.

Now, the common factors can be found like this.

226:2x 113

722:2x 19x 19

760:2x 2x 2x 5x 19

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 2x 2x 19 = 152

Therefore, the value for common factors is 152.

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 = 99704618880/(2x152)

LCM = 99704618880/304

LCM = 327975720

Thus, we can understand that the LCM of 226,722,760,804 is 327975720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 226, 722, 760, 804

1. What is the LCM of 226, 722, 760, 804?

Answer: LCM of 226, 722, 760, 804 is 327975720.

2. How to calculate the LCM of 226, 722, 760, 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 226, 722, 760, 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}.