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LCM of 979, 780, 787, 838, 797

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


Find the LCM of 979, 780, 787, 838, 797 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 979, 780, 787, 838, 797. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 979,780,787,838,797

Given numbers are 979,780,787,838,797

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

The LCM of 979,780,787,838,797 is 200689370730420.

Find LCM of 979,780,787,838,797 with Prime Factorization


2 979, 780, 787, 838, 797
979, 390, 787, 419, 797

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

2 x 979 x 390 x 787 x 419 x 797 = 200689370730420

Therefore, the lowest common multiple of 979,780,787,838,797 is 200689370730420.

LCM Formula to Find Lowest Common Multiple of 979,780,787,838,797

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.

979 x 780 x 787 x 838 x 797 = 401378741460840

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.

979 : 1, 11, 89, 979

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

787 : 1, 787

838 : 1, 2, 419, 838

797 : 1, 797

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,780,787,838,797, is 1.

Now, the common factors can be found like this.

979:11x 89

780:2x 2x 3x 5x 13

787:787

838:2x 419

797:797

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 = 401378741460840/(1x2)

LCM = 401378741460840/2

LCM = 200689370730420

Thus, we can understand that the LCM of 979,780,787,838,797 is 200689370730420.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 979, 780, 787, 838, 797

1. What is the LCM of 979, 780, 787, 838, 797?

Answer: LCM of 979, 780, 787, 838, 797 is 200689370730420.

2. How to calculate the LCM of 979, 780, 787, 838, 797?

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 979, 780, 787, 838, 797.

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}.