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LCM of 282, 222, 562, 787, 705

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


Find the LCM of 282, 222, 562, 787, 705 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 282, 222, 562, 787, 705. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 282,222,562,787,705

Given numbers are 282,222,562,787,705

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

The LCM of 282,222,562,787,705 is 11537238990.

Find LCM of 282,222,562,787,705 with Prime Factorization


2 282, 222, 562, 787, 705
3 141, 111, 281, 787, 705
47 47, 37, 281, 787, 235
1, 37, 281, 787, 5

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

2 x 3 x 47 x 1 x 37 x 281 x 787 x 5 = 11537238990

Therefore, the lowest common multiple of 282,222,562,787,705 is 11537238990.

LCM Formula to Find Lowest Common Multiple of 282,222,562,787,705

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.

282 x 222 x 562 x 787 x 705 = 19521008371080

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.

282 : 1, 2, 3, 6, 47, 94, 141, 282

222 : 1, 2, 3, 6, 37, 74, 111, 222

562 : 1, 2, 281, 562

787 : 1, 787

705 : 1, 3, 5, 15, 47, 141, 235, 705

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,222,562,787,705, is 1.

Now, the common factors can be found like this.

282:2x 3x 47

222:2x 3x 37

562:2x 281

787:787

705:3x 5x 47

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 3x 3x 47 = 1692

Therefore, the value for common factors is 1692.

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 = 19521008371080/(1x1692)

LCM = 19521008371080/1692

LCM = 11537238990

Thus, we can understand that the LCM of 282,222,562,787,705 is 11537238990.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 282, 222, 562, 787, 705

1. What is the LCM of 282, 222, 562, 787, 705?

Answer: LCM of 282, 222, 562, 787, 705 is 11537238990.

2. How to calculate the LCM of 282, 222, 562, 787, 705?

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 282, 222, 562, 787, 705.

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}.