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LCM of 619, 661, 680, 806, 491

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


Find the LCM of 619, 661, 680, 806, 491 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 619, 661, 680, 806, 491. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 619,661,680,806,491

Given numbers are 619,661,680,806,491

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

The LCM of 619,661,680,806,491 is 55053832788760.

Find LCM of 619,661,680,806,491 with Prime Factorization


2 619, 661, 680, 806, 491
619, 661, 340, 403, 491

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

2 x 619 x 661 x 340 x 403 x 491 = 55053832788760

Therefore, the lowest common multiple of 619,661,680,806,491 is 55053832788760.

LCM Formula to Find Lowest Common Multiple of 619,661,680,806,491

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.

619 x 661 x 680 x 806 x 491 = 110107665577520

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.

619 : 1, 619

661 : 1, 661

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

806 : 1, 2, 13, 26, 31, 62, 403, 806

491 : 1, 491

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 619,661,680,806,491, is 1.

Now, the common factors can be found like this.

619:619

661:661

680:2x 2x 2x 5x 17

806:2x 13x 31

491:491

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 = 110107665577520/(1x2)

LCM = 110107665577520/2

LCM = 55053832788760

Thus, we can understand that the LCM of 619,661,680,806,491 is 55053832788760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 619, 661, 680, 806, 491

1. What is the LCM of 619, 661, 680, 806, 491?

Answer: LCM of 619, 661, 680, 806, 491 is 55053832788760.

2. How to calculate the LCM of 619, 661, 680, 806, 491?

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 619, 661, 680, 806, 491.

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}.