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LCM of 244, 175, 850, 659, 119

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


Find the LCM of 244, 175, 850, 659, 119 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 244, 175, 850, 659, 119. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 244,175,850,659,119

Given numbers are 244,175,850,659,119

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

The LCM of 244,175,850,659,119 is 478368100.

Find LCM of 244,175,850,659,119 with Prime Factorization


2 244, 175, 850, 659, 119
5 122, 175, 425, 659, 119
5 122, 35, 85, 659, 119
7 122, 7, 17, 659, 119
17 122, 1, 17, 659, 17
122, 1, 1, 659, 1

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

2 x 5 x 5 x 7 x 17 x 122 x 1 x 1 x 659 x 1 = 478368100

Therefore, the lowest common multiple of 244,175,850,659,119 is 478368100.

LCM Formula to Find Lowest Common Multiple of 244,175,850,659,119

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.

244 x 175 x 850 x 659 x 119 = 2846290195000

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.

244 : 1, 2, 4, 61, 122, 244

175 : 1, 5, 7, 25, 35, 175

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

659 : 1, 659

119 : 1, 7, 17, 119

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 244,175,850,659,119, is 1.

Now, the common factors can be found like this.

244:2x 2x 61

175:5x 5x 7

850:2x 5x 5x 17

659:659

119:7x 17

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

2x 5x 5x 7x 17 = 5950

Therefore, the value for common factors is 5950.

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 = 2846290195000/(1x5950)

LCM = 2846290195000/5950

LCM = 478368100

Thus, we can understand that the LCM of 244,175,850,659,119 is 478368100.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 244, 175, 850, 659, 119

1. What is the LCM of 244, 175, 850, 659, 119?

Answer: LCM of 244, 175, 850, 659, 119 is 478368100.

2. How to calculate the LCM of 244, 175, 850, 659, 119?

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 244, 175, 850, 659, 119.

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}.