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LCM of 244, 536, 402, 979, 260

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


Find the LCM of 244, 536, 402, 979, 260 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 244, 536, 402, 979, 260. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 244,536,402,979,260

Given numbers are 244,536,402,979,260

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

The LCM of 244,536,402,979,260 is 6241829880.

Find LCM of 244,536,402,979,260 with Prime Factorization


2 244, 536, 402, 979, 260
2 122, 268, 201, 979, 130
67 61, 134, 201, 979, 65
61, 2, 3, 979, 65

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

2 x 2 x 67 x 61 x 2 x 3 x 979 x 65 = 6241829880

Therefore, the lowest common multiple of 244,536,402,979,260 is 6241829880.

LCM Formula to Find Lowest Common Multiple of 244,536,402,979,260

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.

244 x 536 x 402 x 979 x 260 = 13382483262720

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.

244 : 1, 2, 4, 61, 122, 244

536 : 1, 2, 4, 8, 67, 134, 268, 536

402 : 1, 2, 3, 6, 67, 134, 201, 402

979 : 1, 11, 89, 979

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 244,536,402,979,260, is 1.

Now, the common factors can be found like this.

244:2x 2x 61

536:2x 2x 2x 67

402:2x 3x 67

979:11x 89

260:2x 2x 5x 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 2x 67 = 2144

Therefore, the value for common factors is 2144.

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 = 13382483262720/(1x2144)

LCM = 13382483262720/2144

LCM = 6241829880

Thus, we can understand that the LCM of 244,536,402,979,260 is 6241829880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 244, 536, 402, 979, 260

1. What is the LCM of 244, 536, 402, 979, 260?

Answer: LCM of 244, 536, 402, 979, 260 is 6241829880.

2. How to calculate the LCM of 244, 536, 402, 979, 260?

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 244, 536, 402, 979, 260.

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}.