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LCM of 970, 778, 778, 363

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


Find the LCM of 970, 778, 778, 363 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 970, 778, 778, 363. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 970,778,778,363

Given numbers are 970,778,778,363

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

The LCM of 970,778,778,363 is 136970790.

Find LCM of 970,778,778,363 with Prime Factorization


2 970, 778, 778, 363
389 485, 389, 389, 363
485, 1, 1, 363

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

2 x 389 x 485 x 1 x 1 x 363 = 136970790

Therefore, the lowest common multiple of 970,778,778,363 is 136970790.

LCM Formula to Find Lowest Common Multiple of 970,778,778,363

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.

970 x 778 x 778 x 363 = 213126549240

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.

970 : 1, 2, 5, 10, 97, 194, 485, 970

778 : 1, 2, 389, 778

778 : 1, 2, 389, 778

363 : 1, 3, 11, 33, 121, 363

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,778,778,363, is 1.

Now, the common factors can be found like this.

970:2x 5x 97

778:2x 389

778:2x 389

363:3x 11x 11

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

2x 2x 389 = 1556

Therefore, the value for common factors is 1556.

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 = 213126549240/(1x1556)

LCM = 213126549240/1556

LCM = 136970790

Thus, we can understand that the LCM of 970,778,778,363 is 136970790.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 970, 778, 778, 363

1. What is the LCM of 970, 778, 778, 363?

Answer: LCM of 970, 778, 778, 363 is 136970790.

2. How to calculate the LCM of 970, 778, 778, 363?

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 970, 778, 778, 363.

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}.