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LCM of 812, 980, 701, 247, 104

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


Find the LCM of 812, 980, 701, 247, 104 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 812, 980, 701, 247, 104. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 812,980,701,247,104

Given numbers are 812,980,701,247,104

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

The LCM of 812,980,701,247,104 is 9841675480.

Find LCM of 812,980,701,247,104 with Prime Factorization


2 812, 980, 701, 247, 104
2 406, 490, 701, 247, 52
7 203, 245, 701, 247, 26
13 29, 35, 701, 247, 26
29, 35, 701, 19, 2

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

2 x 2 x 7 x 13 x 29 x 35 x 701 x 19 x 2 = 9841675480

Therefore, the lowest common multiple of 812,980,701,247,104 is 9841675480.

LCM Formula to Find Lowest Common Multiple of 812,980,701,247,104

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.

812 x 980 x 701 x 247 x 104 = 14329479498880

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.

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

701 : 1, 701

247 : 1, 13, 19, 247

104 : 1, 2, 4, 8, 13, 26, 52, 104

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,980,701,247,104, is 1.

Now, the common factors can be found like this.

812:2x 2x 7x 29

980:2x 2x 5x 7x 7

701:701

247:13x 19

104:2x 2x 2x 13

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 2x 7x 13 = 1456

Therefore, the value for common factors is 1456.

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 = 14329479498880/(1x1456)

LCM = 14329479498880/1456

LCM = 9841675480

Thus, we can understand that the LCM of 812,980,701,247,104 is 9841675480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 812, 980, 701, 247, 104

1. What is the LCM of 812, 980, 701, 247, 104?

Answer: LCM of 812, 980, 701, 247, 104 is 9841675480.

2. How to calculate the LCM of 812, 980, 701, 247, 104?

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 812, 980, 701, 247, 104.

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}.