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LCM of 770, 180, 403, 292, 935

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


Find the LCM of 770, 180, 403, 292, 935 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, 180, 403, 292, 935. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 770,180,403,292,935

Given numbers are 770,180,403,292,935

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

The LCM of 770,180,403,292,935 is 6931704780.

Find LCM of 770,180,403,292,935 with Prime Factorization


2 770, 180, 403, 292, 935
2 385, 90, 403, 146, 935
5 385, 45, 403, 73, 935
11 77, 9, 403, 73, 187
7, 9, 403, 73, 17

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

2 x 2 x 5 x 11 x 7 x 9 x 403 x 73 x 17 = 6931704780

Therefore, the lowest common multiple of 770,180,403,292,935 is 6931704780.

LCM Formula to Find Lowest Common Multiple of 770,180,403,292,935

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 180 x 403 x 292 x 935 = 15249750516000

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

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

403 : 1, 13, 31, 403

292 : 1, 2, 4, 73, 146, 292

935 : 1, 5, 11, 17, 55, 85, 187, 935

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,180,403,292,935, is 1.

Now, the common factors can be found like this.

770:2x 5x 7x 11

180:2x 2x 3x 3x 5

403:13x 31

292:2x 2x 73

935:5x 11x 17

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 2x 5x 5x 11 = 2200

Therefore, the value for common factors is 2200.

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 = 15249750516000/(1x2200)

LCM = 15249750516000/2200

LCM = 6931704780

Thus, we can understand that the LCM of 770,180,403,292,935 is 6931704780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 770, 180, 403, 292, 935

1. What is the LCM of 770, 180, 403, 292, 935?

Answer: LCM of 770, 180, 403, 292, 935 is 6931704780.

2. How to calculate the LCM of 770, 180, 403, 292, 935?

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, 180, 403, 292, 935.

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}.