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LCM of 370, 684, 966

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


Find the LCM of 370, 684, 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 370, 684, 966. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 370,684,966

Given numbers are 370,684,966

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

The LCM of 370,684,966 is 20372940.

Find LCM of 370,684,966 with Prime Factorization


2 370, 684, 966
3 185, 342, 483
185, 114, 161

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

2 x 3 x 185 x 114 x 161 = 20372940

Therefore, the lowest common multiple of 370,684,966 is 20372940.

LCM Formula to Find Lowest Common Multiple of 370,684,966

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.

370 x 684 x 966 = 244475280

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.

370 : 1, 2, 5, 10, 37, 74, 185, 370

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 370,684,966, is 2.

Now, the common factors can be found like this.

370:2x 5x 37

684:2x 2x 3x 3x 19

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 3 = 6

Therefore, the value for common factors is 6.

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 = 244475280/(2x6)

LCM = 244475280/12

LCM = 20372940

Thus, we can understand that the LCM of 370,684,966 is 20372940.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 370, 684, 966

1. What is the LCM of 370, 684, 966?

Answer: LCM of 370, 684, 966 is 20372940.

2. How to calculate the LCM of 370, 684, 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 370, 684, 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}.