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LCM of 234, 126, 981, 966

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


Find the LCM of 234, 126, 981, 966 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 234, 126, 981, 966. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 234,126,981,966

Given numbers are 234,126,981,966

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

The LCM of 234,126,981,966 is 4106466.

Find LCM of 234,126,981,966 with Prime Factorization


2 234, 126, 981, 966
3 117, 63, 981, 483
3 39, 21, 327, 161
7 13, 7, 109, 161
13, 1, 109, 23

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

2 x 3 x 3 x 7 x 13 x 1 x 109 x 23 = 4106466

Therefore, the lowest common multiple of 234,126,981,966 is 4106466.

LCM Formula to Find Lowest Common Multiple of 234,126,981,966

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.

234 x 126 x 981 x 966 = 27940394664

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.

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

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

981 : 1, 3, 9, 109, 327, 981

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,126,981,966, is 3.

Now, the common factors can be found like this.

234:2x 3x 3x 13

126:2x 3x 3x 7

981:3x 3x 109

966:2x 3x 7x 23

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 3x 3x 7 = 2268

Therefore, the value for common factors is 2268.

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 = 27940394664/(3x2268)

LCM = 27940394664/6804

LCM = 4106466

Thus, we can understand that the LCM of 234,126,981,966 is 4106466.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 234, 126, 981, 966

1. What is the LCM of 234, 126, 981, 966?

Answer: LCM of 234, 126, 981, 966 is 4106466.

2. How to calculate the LCM of 234, 126, 981, 966?

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 234, 126, 981, 966.

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}.