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LCM of 770, 998, 746, 872

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


Find the LCM of 770, 998, 746, 872 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 770, 998, 746, 872. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 770,998,746,872

Given numbers are 770,998,746,872

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

The LCM of 770,998,746,872 is 62486556440.

Find LCM of 770,998,746,872 with Prime Factorization


2 770, 998, 746, 872
385, 499, 373, 436

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

2 x 385 x 499 x 373 x 436 = 62486556440

Therefore, the lowest common multiple of 770,998,746,872 is 62486556440.

LCM Formula to Find Lowest Common Multiple of 770,998,746,872

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.

770 x 998 x 746 x 872 = 499892451520

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.

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

998 : 1, 2, 499, 998

746 : 1, 2, 373, 746

872 : 1, 2, 4, 8, 109, 218, 436, 872

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,998,746,872, is 2.

Now, the common factors can be found like this.

770:2x 5x 7x 11

998:2x 499

746:2x 373

872:2x 2x 2x 109

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 499892451520/(2x4)

LCM = 499892451520/8

LCM = 62486556440

Thus, we can understand that the LCM of 770,998,746,872 is 62486556440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 770, 998, 746, 872

1. What is the LCM of 770, 998, 746, 872?

Answer: LCM of 770, 998, 746, 872 is 62486556440.

2. How to calculate the LCM of 770, 998, 746, 872?

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 770, 998, 746, 872.

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}.