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LCM of 145, 155, 349

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


Find the LCM of 145, 155, 349 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 145, 155, 349. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 145,155,349

Given numbers are 145,155,349

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

The LCM of 145,155,349 is 1568755.

Find LCM of 145,155,349 with Prime Factorization


5 145, 155, 349
29, 31, 349

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

5 x 29 x 31 x 349 = 1568755

Therefore, the lowest common multiple of 145,155,349 is 1568755.

LCM Formula to Find Lowest Common Multiple of 145,155,349

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.

145 x 155 x 349 = 7843775

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.

145 : 1, 5, 29, 145

155 : 1, 5, 31, 155

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 145,155,349, is 1.

Now, the common factors can be found like this.

145:5x 29

155:5x 31

349:349

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

5 = 5

Therefore, the value for common factors is 5.

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 = 7843775/(1x5)

LCM = 7843775/5

LCM = 1568755

Thus, we can understand that the LCM of 145,155,349 is 1568755.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 145, 155, 349

1. What is the LCM of 145, 155, 349?

Answer: LCM of 145, 155, 349 is 1568755.

2. How to calculate the LCM of 145, 155, 349?

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 145, 155, 349.

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}.