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LCM of 613, 667, 370, 786, 661

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


Find the LCM of 613, 667, 370, 786, 661 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 613, 667, 370, 786, 661. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 613,667,370,786,661

Given numbers are 613,667,370,786,661

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

The LCM of 613,667,370,786,661 is 39299049124710.

Find LCM of 613,667,370,786,661 with Prime Factorization


2 613, 667, 370, 786, 661
613, 667, 185, 393, 661

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

2 x 613 x 667 x 185 x 393 x 661 = 39299049124710

Therefore, the lowest common multiple of 613,667,370,786,661 is 39299049124710.

LCM Formula to Find Lowest Common Multiple of 613,667,370,786,661

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.

613 x 667 x 370 x 786 x 661 = 78598098249420

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.

613 : 1, 613

667 : 1, 23, 29, 667

370 : 1, 2, 5, 10, 37, 74, 185, 370

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

661 : 1, 661

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 613,667,370,786,661, is 1.

Now, the common factors can be found like this.

613:613

667:23x 29

370:2x 5x 37

786:2x 3x 131

661:661

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

2 = 2

Therefore, the value for common factors is 2.

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 = 78598098249420/(1x2)

LCM = 78598098249420/2

LCM = 39299049124710

Thus, we can understand that the LCM of 613,667,370,786,661 is 39299049124710.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 613, 667, 370, 786, 661

1. What is the LCM of 613, 667, 370, 786, 661?

Answer: LCM of 613, 667, 370, 786, 661 is 39299049124710.

2. How to calculate the LCM of 613, 667, 370, 786, 661?

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 613, 667, 370, 786, 661.

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}.