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LCM of 972, 260, 104, 856, 211

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


Find the LCM of 972, 260, 104, 856, 211 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 972, 260, 104, 856, 211. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 972,260,104,856,211

Given numbers are 972,260,104,856,211

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

The LCM of 972,260,104,856,211 is 2852829720.

Find LCM of 972,260,104,856,211 with Prime Factorization


2 972, 260, 104, 856, 211
2 486, 130, 52, 428, 211
2 243, 65, 26, 214, 211
13 243, 65, 13, 107, 211
243, 5, 1, 107, 211

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

2 x 2 x 2 x 13 x 243 x 5 x 1 x 107 x 211 = 2852829720

Therefore, the lowest common multiple of 972,260,104,856,211 is 2852829720.

LCM Formula to Find Lowest Common Multiple of 972,260,104,856,211

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.

972 x 260 x 104 x 856 x 211 = 4747108654080

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.

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

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

856 : 1, 2, 4, 8, 107, 214, 428, 856

211 : 1, 211

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,260,104,856,211, is 1.

Now, the common factors can be found like this.

972:2x 2x 3x 3x 3x 3x 3

260:2x 2x 5x 13

104:2x 2x 2x 13

856:2x 2x 2x 107

211:211

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 2x 2x 2x 13 = 1664

Therefore, the value for common factors is 1664.

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 = 4747108654080/(1x1664)

LCM = 4747108654080/1664

LCM = 2852829720

Thus, we can understand that the LCM of 972,260,104,856,211 is 2852829720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 972, 260, 104, 856, 211

1. What is the LCM of 972, 260, 104, 856, 211?

Answer: LCM of 972, 260, 104, 856, 211 is 2852829720.

2. How to calculate the LCM of 972, 260, 104, 856, 211?

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 972, 260, 104, 856, 211.

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}.