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LCM of 104, 240, 526, 182, 979

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


Find the LCM of 104, 240, 526, 182, 979 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 104, 240, 526, 182, 979. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 104,240,526,182,979

Given numbers are 104,240,526,182,979

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

The LCM of 104,240,526,182,979 is 5623297680.

Find LCM of 104,240,526,182,979 with Prime Factorization


2 104, 240, 526, 182, 979
2 52, 120, 263, 91, 979
2 26, 60, 263, 91, 979
13 13, 30, 263, 91, 979
1, 30, 263, 7, 979

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

2 x 2 x 2 x 13 x 1 x 30 x 263 x 7 x 979 = 5623297680

Therefore, the lowest common multiple of 104,240,526,182,979 is 5623297680.

LCM Formula to Find Lowest Common Multiple of 104,240,526,182,979

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.

104 x 240 x 526 x 182 x 979 = 2339291834880

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.

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

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

526 : 1, 2, 263, 526

182 : 1, 2, 7, 13, 14, 26, 91, 182

979 : 1, 11, 89, 979

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,240,526,182,979, is 1.

Now, the common factors can be found like this.

104:2x 2x 2x 13

240:2x 2x 2x 2x 3x 5

526:2x 263

182:2x 7x 13

979:11x 89

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 13 = 416

Therefore, the value for common factors is 416.

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 = 2339291834880/(1x416)

LCM = 2339291834880/416

LCM = 5623297680

Thus, we can understand that the LCM of 104,240,526,182,979 is 5623297680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 104, 240, 526, 182, 979

1. What is the LCM of 104, 240, 526, 182, 979?

Answer: LCM of 104, 240, 526, 182, 979 is 5623297680.

2. How to calculate the LCM of 104, 240, 526, 182, 979?

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 104, 240, 526, 182, 979.

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}.