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LCM of 467, 286, 920, 679, 260

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


Find the LCM of 467, 286, 920, 679, 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 467, 286, 920, 679, 260. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 467,286,920,679,260

Given numbers are 467,286,920,679,260

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

The LCM of 467,286,920,679,260 is 41716755080.

Find LCM of 467,286,920,679,260 with Prime Factorization


2 467, 286, 920, 679, 260
2 467, 143, 460, 679, 130
5 467, 143, 230, 679, 65
13 467, 143, 46, 679, 13
467, 11, 46, 679, 1

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

2 x 2 x 5 x 13 x 467 x 11 x 46 x 679 x 1 = 41716755080

Therefore, the lowest common multiple of 467,286,920,679,260 is 41716755080.

LCM Formula to Find Lowest Common Multiple of 467,286,920,679,260

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.

467 x 286 x 920 x 679 x 260 = 21692712641600

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.

467 : 1, 467

286 : 1, 2, 11, 13, 22, 26, 143, 286

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

679 : 1, 7, 97, 679

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 467,286,920,679,260, is 1.

Now, the common factors can be found like this.

467:467

286:2x 11x 13

920:2x 2x 2x 5x 23

679:7x 97

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 5x 13 = 520

Therefore, the value for common factors is 520.

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 = 21692712641600/(1x520)

LCM = 21692712641600/520

LCM = 41716755080

Thus, we can understand that the LCM of 467,286,920,679,260 is 41716755080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 467, 286, 920, 679, 260

1. What is the LCM of 467, 286, 920, 679, 260?

Answer: LCM of 467, 286, 920, 679, 260 is 41716755080.

2. How to calculate the LCM of 467, 286, 920, 679, 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 467, 286, 920, 679, 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}.