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LCM of 691, 475, 691, 786, 509

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


Find the LCM of 691, 475, 691, 786, 509 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 691, 475, 691, 786, 509. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 691,475,691,786,509

Given numbers are 691,475,691,786,509

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

The LCM of 691,475,691,786,509 is 131314288650.

Find LCM of 691,475,691,786,509 with Prime Factorization


691 691, 475, 691, 786, 509
1, 475, 1, 786, 509

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

691 x 1 x 475 x 1 x 786 x 509 = 131314288650

Therefore, the lowest common multiple of 691,475,691,786,509 is 131314288650.

LCM Formula to Find Lowest Common Multiple of 691,475,691,786,509

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.

691 x 475 x 691 x 786 x 509 = 90738173457150

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.

691 : 1, 691

475 : 1, 5, 19, 25, 95, 475

691 : 1, 691

786 : 1, 2, 3, 6, 131, 262, 393, 786

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 691,475,691,786,509, is 1.

Now, the common factors can be found like this.

691:691

475:5x 5x 19

691:691

786:2x 3x 131

509:509

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

691 = 691

Therefore, the value for common factors is 691.

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 = 90738173457150/(1x691)

LCM = 90738173457150/691

LCM = 131314288650

Thus, we can understand that the LCM of 691,475,691,786,509 is 131314288650.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 691, 475, 691, 786, 509

1. What is the LCM of 691, 475, 691, 786, 509?

Answer: LCM of 691, 475, 691, 786, 509 is 131314288650.

2. How to calculate the LCM of 691, 475, 691, 786, 509?

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 691, 475, 691, 786, 509.

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}.