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LCM of 986, 262, 850, 234

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


Find the LCM of 986, 262, 850, 234 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 986, 262, 850, 234. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 986,262,850,234

Given numbers are 986,262,850,234

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

The LCM of 986,262,850,234 is 377810550.

Find LCM of 986,262,850,234 with Prime Factorization


2 986, 262, 850, 234
17 493, 131, 425, 117
29, 131, 25, 117

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

2 x 17 x 29 x 131 x 25 x 117 = 377810550

Therefore, the lowest common multiple of 986,262,850,234 is 377810550.

LCM Formula to Find Lowest Common Multiple of 986,262,850,234

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.

986 x 262 x 850 x 234 = 51382234800

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.

986 : 1, 2, 17, 29, 34, 58, 493, 986

262 : 1, 2, 131, 262

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,262,850,234, is 2.

Now, the common factors can be found like this.

986:2x 17x 29

262:2x 131

850:2x 5x 5x 17

234:2x 3x 3x 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 17 = 68

Therefore, the value for common factors is 68.

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 = 51382234800/(2x68)

LCM = 51382234800/136

LCM = 377810550

Thus, we can understand that the LCM of 986,262,850,234 is 377810550.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 986, 262, 850, 234

1. What is the LCM of 986, 262, 850, 234?

Answer: LCM of 986, 262, 850, 234 is 377810550.

2. How to calculate the LCM of 986, 262, 850, 234?

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 986, 262, 850, 234.

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}.