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LCM of 344, 196, 225, 738, 577

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


Find the LCM of 344, 196, 225, 738, 577 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 344, 196, 225, 738, 577. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 344,196,225,738,577

Given numbers are 344,196,225,738,577

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

The LCM of 344,196,225,738,577 is 89721538200.

Find LCM of 344,196,225,738,577 with Prime Factorization


2 344, 196, 225, 738, 577
2 172, 98, 225, 369, 577
3 86, 49, 225, 369, 577
3 86, 49, 75, 123, 577
86, 49, 25, 41, 577

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

2 x 2 x 3 x 3 x 86 x 49 x 25 x 41 x 577 = 89721538200

Therefore, the lowest common multiple of 344,196,225,738,577 is 89721538200.

LCM Formula to Find Lowest Common Multiple of 344,196,225,738,577

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.

344 x 196 x 225 x 738 x 577 = 6459950750400

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.

344 : 1, 2, 4, 8, 43, 86, 172, 344

196 : 1, 2, 4, 7, 14, 28, 49, 98, 196

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

577 : 1, 577

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 344,196,225,738,577, is 1.

Now, the common factors can be found like this.

344:2x 2x 2x 43

196:2x 2x 7x 7

225:3x 3x 5x 5

738:2x 3x 3x 41

577:577

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 6459950750400/(1x72)

LCM = 6459950750400/72

LCM = 89721538200

Thus, we can understand that the LCM of 344,196,225,738,577 is 89721538200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 344, 196, 225, 738, 577

1. What is the LCM of 344, 196, 225, 738, 577?

Answer: LCM of 344, 196, 225, 738, 577 is 89721538200.

2. How to calculate the LCM of 344, 196, 225, 738, 577?

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 344, 196, 225, 738, 577.

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}.