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LCM of 884, 374, 770, 662

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


Find the LCM of 884, 374, 770, 662 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 884, 374, 770, 662. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 884,374,770,662

Given numbers are 884,374,770,662

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

The LCM of 884,374,770,662 is 112652540.

Find LCM of 884,374,770,662 with Prime Factorization


2 884, 374, 770, 662
11 442, 187, 385, 331
17 442, 17, 35, 331
26, 1, 35, 331

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

2 x 11 x 17 x 26 x 1 x 35 x 331 = 112652540

Therefore, the lowest common multiple of 884,374,770,662 is 112652540.

LCM Formula to Find Lowest Common Multiple of 884,374,770,662

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.

884 x 374 x 770 x 662 = 168528199840

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.

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

374 : 1, 2, 11, 17, 22, 34, 187, 374

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

662 : 1, 2, 331, 662

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,374,770,662, is 2.

Now, the common factors can be found like this.

884:2x 2x 13x 17

374:2x 11x 17

770:2x 5x 7x 11

662:2x 331

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 11x 17 = 748

Therefore, the value for common factors is 748.

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 = 168528199840/(2x748)

LCM = 168528199840/1496

LCM = 112652540

Thus, we can understand that the LCM of 884,374,770,662 is 112652540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 884, 374, 770, 662

1. What is the LCM of 884, 374, 770, 662?

Answer: LCM of 884, 374, 770, 662 is 112652540.

2. How to calculate the LCM of 884, 374, 770, 662?

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 884, 374, 770, 662.

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}.