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LCM of 361, 952, 966, 228

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


Find the LCM of 361, 952, 966, 228 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 361, 952, 966, 228. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 361,952,966,228

Given numbers are 361,952,966,228

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

The LCM of 361,952,966,228 is 23713368.

Find LCM of 361,952,966,228 with Prime Factorization


2 361, 952, 966, 228
2 361, 476, 483, 114
3 361, 238, 483, 57
7 361, 238, 161, 19
19 361, 34, 23, 19
1, 34, 23, 19

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

2 x 2 x 3 x 7 x 19 x 1 x 34 x 23 x 19 = 23713368

Therefore, the lowest common multiple of 361,952,966,228 is 23713368.

LCM Formula to Find Lowest Common Multiple of 361,952,966,228

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.

361 x 952 x 966 x 228 = 75693070656

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.

361 : 1, 19, 361

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

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

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,952,966,228, is 1.

Now, the common factors can be found like this.

361:19x 19

952:2x 2x 2x 7x 17

966:2x 3x 7x 23

228:2x 2x 3x 19

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 3x 7x 19 = 3192

Therefore, the value for common factors is 3192.

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 = 75693070656/(1x3192)

LCM = 75693070656/3192

LCM = 23713368

Thus, we can understand that the LCM of 361,952,966,228 is 23713368.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 361, 952, 966, 228

1. What is the LCM of 361, 952, 966, 228?

Answer: LCM of 361, 952, 966, 228 is 23713368.

2. How to calculate the LCM of 361, 952, 966, 228?

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 361, 952, 966, 228.

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}.