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LCM of 229, 672, 490, 349, 326

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


Find the LCM of 229, 672, 490, 349, 326 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, 672, 490, 349, 326. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 229,672,490,349,326

Given numbers are 229,672,490,349,326

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

The LCM of 229,672,490,349,326 is 306397932960.

Find LCM of 229,672,490,349,326 with Prime Factorization


2 229, 672, 490, 349, 326
7 229, 336, 245, 349, 163
229, 48, 35, 349, 163

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

2 x 7 x 229 x 48 x 35 x 349 x 163 = 306397932960

Therefore, the lowest common multiple of 229,672,490,349,326 is 306397932960.

LCM Formula to Find Lowest Common Multiple of 229,672,490,349,326

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 672 x 490 x 349 x 326 = 8579142122880

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

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

349 : 1, 349

326 : 1, 2, 163, 326

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,672,490,349,326, is 1.

Now, the common factors can be found like this.

229:229

672:2x 2x 2x 2x 2x 3x 7

490:2x 5x 7x 7

349:349

326:2x 163

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 7 = 28

Therefore, the value for common factors is 28.

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 = 8579142122880/(1x28)

LCM = 8579142122880/28

LCM = 306397932960

Thus, we can understand that the LCM of 229,672,490,349,326 is 306397932960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 229, 672, 490, 349, 326

1. What is the LCM of 229, 672, 490, 349, 326?

Answer: LCM of 229, 672, 490, 349, 326 is 306397932960.

2. How to calculate the LCM of 229, 672, 490, 349, 326?

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, 672, 490, 349, 326.

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}.