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LCM of 770, 400, 986, 902, 161

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


Find the LCM of 770, 400, 986, 902, 161 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, 400, 986, 902, 161. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 770,400,986,902,161

Given numbers are 770,400,986,902,161

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

The LCM of 770,400,986,902,161 is 14318889200.

Find LCM of 770,400,986,902,161 with Prime Factorization


2 770, 400, 986, 902, 161
5 385, 200, 493, 451, 161
7 77, 40, 493, 451, 161
11 11, 40, 493, 451, 23
1, 40, 493, 41, 23

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

2 x 5 x 7 x 11 x 1 x 40 x 493 x 41 x 23 = 14318889200

Therefore, the lowest common multiple of 770,400,986,902,161 is 14318889200.

LCM Formula to Find Lowest Common Multiple of 770,400,986,902,161

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 400 x 986 x 902 x 161 = 44102178736000

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

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

986 : 1, 2, 17, 29, 34, 58, 493, 986

902 : 1, 2, 11, 22, 41, 82, 451, 902

161 : 1, 7, 23, 161

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,400,986,902,161, is 1.

Now, the common factors can be found like this.

770:2x 5x 7x 11

400:2x 2x 2x 2x 5x 5

986:2x 17x 29

902:2x 11x 41

161:7x 23

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 7x 11 = 3080

Therefore, the value for common factors is 3080.

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 = 44102178736000/(1x3080)

LCM = 44102178736000/3080

LCM = 14318889200

Thus, we can understand that the LCM of 770,400,986,902,161 is 14318889200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 770, 400, 986, 902, 161

1. What is the LCM of 770, 400, 986, 902, 161?

Answer: LCM of 770, 400, 986, 902, 161 is 14318889200.

2. How to calculate the LCM of 770, 400, 986, 902, 161?

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, 400, 986, 902, 161.

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}.