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LCM of 191, 149, 702, 345, 759

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


Find the LCM of 191, 149, 702, 345, 759 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 191, 149, 702, 345, 759. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 191,149,702,345,759

Given numbers are 191,149,702,345,759

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

The LCM of 191,149,702,345,759 is 25272445770.

Find LCM of 191,149,702,345,759 with Prime Factorization


3 191, 149, 702, 345, 759
23 191, 149, 234, 115, 253
191, 149, 234, 5, 11

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

3 x 23 x 191 x 149 x 234 x 5 x 11 = 25272445770

Therefore, the lowest common multiple of 191,149,702,345,759 is 25272445770.

LCM Formula to Find Lowest Common Multiple of 191,149,702,345,759

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.

191 x 149 x 702 x 345 x 759 = 5231396274390

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.

191 : 1, 191

149 : 1, 149

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

345 : 1, 3, 5, 15, 23, 69, 115, 345

759 : 1, 3, 11, 23, 33, 69, 253, 759

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 191,149,702,345,759, is 1.

Now, the common factors can be found like this.

191:191

149:149

702:2x 3x 3x 3x 13

345:3x 5x 23

759:3x 11x 23

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

3x 3x 23 = 207

Therefore, the value for common factors is 207.

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 = 5231396274390/(1x207)

LCM = 5231396274390/207

LCM = 25272445770

Thus, we can understand that the LCM of 191,149,702,345,759 is 25272445770.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 191, 149, 702, 345, 759

1. What is the LCM of 191, 149, 702, 345, 759?

Answer: LCM of 191, 149, 702, 345, 759 is 25272445770.

2. How to calculate the LCM of 191, 149, 702, 345, 759?

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 191, 149, 702, 345, 759.

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}.