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LCM of 361, 456, 672, 123

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


Find the LCM of 361, 456, 672, 123 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, 456, 672, 123. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 361,456,672,123

Given numbers are 361,456,672,123

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

The LCM of 361,456,672,123 is 9946272.

Find LCM of 361,456,672,123 with Prime Factorization


2 361, 456, 672, 123
2 361, 228, 336, 123
2 361, 114, 168, 123
3 361, 57, 84, 123
19 361, 19, 28, 41
1, 19, 28, 41

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

2 x 2 x 2 x 3 x 19 x 1 x 19 x 28 x 41 = 9946272

Therefore, the lowest common multiple of 361,456,672,123 is 9946272.

LCM Formula to Find Lowest Common Multiple of 361,456,672,123

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 456 x 672 x 123 = 13606500096

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

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

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

123 : 1, 3, 41, 123

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,456,672,123, is 1.

Now, the common factors can be found like this.

361:19x 19

456:2x 2x 2x 3x 19

672:2x 2x 2x 2x 2x 3x 7

123:3x 41

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 3x 19 = 1368

Therefore, the value for common factors is 1368.

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 = 13606500096/(1x1368)

LCM = 13606500096/1368

LCM = 9946272

Thus, we can understand that the LCM of 361,456,672,123 is 9946272.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 361, 456, 672, 123

1. What is the LCM of 361, 456, 672, 123?

Answer: LCM of 361, 456, 672, 123 is 9946272.

2. How to calculate the LCM of 361, 456, 672, 123?

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, 456, 672, 123.

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}.