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LCM of 378, 121, 456, 188

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


Find the LCM of 378, 121, 456, 188 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 378, 121, 456, 188. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 378,121,456,188

Given numbers are 378,121,456,188

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

The LCM of 378,121,456,188 is 163376136.

Find LCM of 378,121,456,188 with Prime Factorization


2 378, 121, 456, 188
2 189, 121, 228, 94
3 189, 121, 114, 47
63, 121, 38, 47

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

2 x 2 x 3 x 63 x 121 x 38 x 47 = 163376136

Therefore, the lowest common multiple of 378,121,456,188 is 163376136.

LCM Formula to Find Lowest Common Multiple of 378,121,456,188

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.

378 x 121 x 456 x 188 = 3921027264

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.

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

121 : 1, 11, 121

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

188 : 1, 2, 4, 47, 94, 188

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,121,456,188, is 1.

Now, the common factors can be found like this.

378:2x 3x 3x 3x 7

121:11x 11

456:2x 2x 2x 3x 19

188:2x 2x 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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 3921027264/(1x24)

LCM = 3921027264/24

LCM = 163376136

Thus, we can understand that the LCM of 378,121,456,188 is 163376136.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 378, 121, 456, 188

1. What is the LCM of 378, 121, 456, 188?

Answer: LCM of 378, 121, 456, 188 is 163376136.

2. How to calculate the LCM of 378, 121, 456, 188?

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 378, 121, 456, 188.

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}.